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3725069040 = 2433571122397
BaseRepresentation
bin1101111000001000…
…0000101011110000
3100121121101010002000
43132002000223300
530112104202130
61413345054000
7161211364410
oct33602005360
910547333060
103725069040
111641782560
1287b627300
13474990384
14274a28640
1516c069260
hexde080af0

3725069040 has 320 divisors, whose sum is σ = 15997547520. Its totient is φ = 774005760.

The previous prime is 3725068999. The next prime is 3725069041. The reversal of 3725069040 is 409605273.

It is a super-2 number, since 2×37250690402 = 27752278705533043200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3725068986 and 3725069004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3725069041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 155122 + ... + 177518.

It is an arithmetic number, because the mean of its divisors is an integer number (49992336).

Almost surely, 23725069040 is an apocalyptic number.

3725069040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3725069040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7998773760).

3725069040 is an abundant number, since it is smaller than the sum of its proper divisors (12272478480).

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

3725069040 is a wasteful number, since it uses less digits than its factorization.

3725069040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22437 (or 22425 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3725069040 is about 61033.3436737657. The cubic root of 3725069040 is about 1550.1656486163.

The spelling of 3725069040 in words is "three billion, seven hundred twenty-five million, sixty-nine thousand, forty".