3672357696 has 504 divisors, whose sum is σ = 13486424640. Its totient is φ = 959745024.

The previous prime is 3672357691. The next prime is 3672357749. The reversal of 3672357696 is 6967532763.

3672357696 is a `hidden beast` number, since 3 + 67 + 2 + 3 + 576 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×3672357696² = 26972422094740856832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (8573040) is a multiple of the sum of its prime divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3672357691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 126633010 + ... + 126633038.

Almost surely, 2^3672357696 is an apocalyptic number.

3672357696 is a gapful number since it is divisible by the number (36) 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 3672357696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6743212320).

3672357696 is an abundant number, since it is smaller than the sum of its proper divisors (9814066944).

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

3672357696 is a wasteful number, since it uses less digits than its factorization.

3672357696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 60 counting only the distinct ones).

The product of its digits is 8573040, while the sum is 54.

The square root of 3672357696 is about 60599.9809900960. The cubic root of 3672357696 is about 1542.8190473839.

The spelling of 3672357696 in words is "three billion, six hundred seventy-two million, three hundred fifty-seven thousand, six hundred ninety-six".