3692713752 has 512 divisors, whose sum is σ = 13731379200. Its totient is φ = 891813888.

The previous prime is 3692713747. The next prime is 3692713789. The reversal of 3692713752 is 2573172963.

3692713752 is a `hidden beast` number, since 3 + 6 + 9 + 271 + 375 + 2 = 666.

It is a super-2 number, since 2×3692713752² = 27272269708419835008, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3692713698 and 3692713707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14368408 + ... + 14368664.

It is an arithmetic number, because the mean of its divisors is an integer number (26819100).

Almost surely, 2^3692713752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3692713752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6865689600).

3692713752 is an abundant number, since it is smaller than the sum of its proper divisors (10038665448).

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

3692713752 is a wasteful number, since it uses less digits than its factorization.

3692713752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 342 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 3692713752 is about 60767.7031983273. The cubic root of 3692713752 is about 1545.6644366195.

The spelling of 3692713752 in words is "three billion, six hundred ninety-two million, seven hundred thirteen thousand, seven hundred fifty-two".