3692856960 has 512 divisors, whose sum is σ = 14928883200. Its totient is φ = 854654976.

The previous prime is 3692856941. The next prime is 3692856983. The reversal of 3692856960 is 696582963.

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

It is a junction number, because it is equal to n+sod(n) for n = 3692856897 and 3692856906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3818397 + ... + 3819363.

It is an arithmetic number, because the mean of its divisors is an integer number (29157975).

Almost surely, 2^3692856960 is an apocalyptic number.

3692856960 is a gapful number since it is divisible by the number (30) 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 3692856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7464441600).

3692856960 is an abundant number, since it is smaller than the sum of its proper divisors (11236026240).

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

3692856960 is a wasteful number, since it uses less digits than its factorization.

3692856960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The square root of 3692856960 is about 60768.8815101940. The cubic root of 3692856960 is about 1545.6844172865.

The spelling of 3692856960 in words is "three billion, six hundred ninety-two million, eight hundred fifty-six thousand, nine hundred sixty".