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3728070696 = 233743151487
BaseRepresentation
bin1101111000110101…
…1101100000101000
3100121211000121120110
43132031131200220
530113341230241
61413533254320
7161246035530
oct33615354050
910554017513
103728070696
111643442769
128806343a0
134754a16bc
142751aa4c0
1516c45d816
hexde35d828

3728070696 has 64 divisors (see below), whose sum is σ = 10676551680. Its totient is φ = 1062671040.

The previous prime is 3728070677. The next prime is 3728070707. The reversal of 3728070696 is 6960708273.

3728070696 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×37280706964 (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46665 + ... + 98151.

It is an arithmetic number, because the mean of its divisors is an integer number (166821120).

Almost surely, 23728070696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3728070696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5338275840).

3728070696 is an abundant number, since it is smaller than the sum of its proper divisors (6948480984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3728070696 is a wasteful number, since it uses less digits than its factorization.

3728070696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51934 (or 51930 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 3728070696 is about 61057.9290182692. The cubic root of 3728070696 is about 1550.5819106791.

The spelling of 3728070696 in words is "three billion, seven hundred twenty-eight million, seventy thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 431 862 1293 1724 2586 3017 3448 5172 6034 9051 10344 12068 18102 24136 36204 51487 72408 102974 154461 205948 308922 360409 411896 617844 720818 1081227 1235688 1441636 2162454 2883272 4324908 8649816 22190897 44381794 66572691 88763588 133145382 155336279 177527176 266290764 310672558 466008837 532581528 621345116 932017674 1242690232 1864035348 3728070696