3657713472 has 504 divisors, whose sum is σ = 13202611136. Its totient is φ = 947552256.

The previous prime is 3657713459. The next prime is 3657713473. The reversal of 3657713472 is 2743177563.

3657713472 is a `hidden beast` number, since 3 + 6 + 577 + 1 + 3 + 4 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3657713473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50105628 + ... + 50105700.

Almost surely, 2^3657713472 is an apocalyptic number.

3657713472 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 3657713472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6601305568).

3657713472 is an abundant number, since it is smaller than the sum of its proper divisors (9544897664).

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

3657713472 is a wasteful number, since it uses less digits than its factorization.

3657713472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 145 counting only the distinct ones).

The product of its digits is 740880, while the sum is 45.

The square root of 3657713472 is about 60479.0333256080. The cubic root of 3657713472 is about 1540.7655540415.

The spelling of 3657713472 in words is "three billion, six hundred fifty-seven million, seven hundred thirteen thousand, four hundred seventy-two".