3312368640 has 660 divisors, whose sum is σ = 13892268456. Its totient is φ = 752467968.

The previous prime is 3312368623. The next prime is 3312368651. The reversal of 3312368640 is 468632133.

3312368640 is a `hidden beast` number, since 3 + 3 + 1 + 2 + 3 + 6 + 8 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3312368595 and 3312368604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20321199 + ... + 20321361.

Almost surely, 2^3312368640 is an apocalyptic number.

3312368640 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 3312368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6946134228).

3312368640 is an abundant number, since it is smaller than the sum of its proper divisors (10579899816).

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

3312368640 is a wasteful number, since it uses less digits than its factorization.

3312368640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3312368640 is about 57553.1809720366. The cubic root of 3312368640 is about 1490.6632844089.

The spelling of 3312368640 in words is "three billion, three hundred twelve million, three hundred sixty-eight thousand, six hundred forty".