3660793920 has 336 divisors, whose sum is σ = 15024689280. Its totient is φ = 836656128.

The previous prime is 3660793901. The next prime is 3660793993. The reversal of 3660793920 is 293970663.

3660793920 is a `hidden beast` number, since 3 + 6 + 607 + 9 + 39 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 419037 + ... + 427683.

Almost surely, 2^3660793920 is an apocalyptic number.

3660793920 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 3660793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7512344640).

3660793920 is an abundant number, since it is smaller than the sum of its proper divisors (11363895360).

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

3660793920 is a wasteful number, since it uses less digits than its factorization.

3660793920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8687 (or 8664 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The square root of 3660793920 is about 60504.4950396249. The cubic root of 3660793920 is about 1541.1979659323.

The spelling of 3660793920 in words is "three billion, six hundred sixty million, seven hundred ninety-three thousand, nine hundred twenty".