3656067072 has 96 divisors (see below), whose sum is σ = 11139710400. Its totient is φ = 1044578304.

The previous prime is 3656067071. The next prime is 3656067127. The reversal of 3656067072 is 2707606563.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3656067071) 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 7 ways as a sum of consecutive naturals, for example, 504 + ... + 85512.

It is an arithmetic number, because the mean of its divisors is an integer number (116038650).

Almost surely, 2^3656067072 is an apocalyptic number.

3656067072 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 3656067072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5569855200).

3656067072 is an abundant number, since it is smaller than the sum of its proper divisors (7483643328).

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

3656067072 is an equidigital number, since it uses as much as digits as its factorization.

3656067072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85041 (or 85021 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 42.

The square root of 3656067072 is about 60465.4204649236. The cubic root of 3656067072 is about 1540.5343442862.

The spelling of 3656067072 in words is "three billion, six hundred fifty-six million, sixty-seven thousand, seventy-two".