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3722085312 = 2631161167173
BaseRepresentation
bin1101110111011010…
…1000001111000000
3100121101202112011120
43131312220033000
530110323212222
61413201112240
7161144126451
oct33566501700
910541675146
103722085312
111640024870
1287a628680
1347418725a
1427448d128
1516bb7a15c
hexddda83c0

3722085312 has 224 divisors, whose sum is σ = 11048292864. Its totient is φ = 1096396800.

The previous prime is 3722085299. The next prime is 3722085317. The reversal of 3722085312 is 2135802273.

3722085312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×37220853122 = 27707838139612274688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3722085317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21514858 + ... + 21515030.

It is an arithmetic number, because the mean of its divisors is an integer number (49322736).

Almost surely, 23722085312 is an apocalyptic number.

3722085312 is a gapful number since it is divisible by the number (32) 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 3722085312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5524146432).

3722085312 is an abundant number, since it is smaller than the sum of its proper divisors (7326207552).

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

3722085312 is a wasteful number, since it uses less digits than its factorization.

3722085312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 3722085312 is about 61008.8953514158. The cubic root of 3722085312 is about 1549.7516510880.

Adding to 3722085312 its reverse (2135802273), we get a palindrome (5857887585).

The spelling of 3722085312 in words is "three billion, seven hundred twenty-two million, eighty-five thousand, three hundred twelve".