3360966400 has 108 divisors (see below), whose sum is σ = 9075372264. Its totient is φ = 1222144000.

The previous prime is 3360966383. The next prime is 3360966409. The reversal of 3360966400 is 46690633.

It is a super-2 number, since 2×3360966400² = 22592190283857920000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3360966400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3360966409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46530 + ... + 94270.

Almost surely, 2^3360966400 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 3360966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4537686132).

3360966400 is an abundant number, since it is smaller than the sum of its proper divisors (5714405864).

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

3360966400 is a wasteful number, since it uses less digits than its factorization.

3360966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47778 (or 47759 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 37.

The square root of 3360966400 is about 57973.8423774033. The cubic root of 3360966400 is about 1497.9180598352.

The spelling of 3360966400 in words is "three billion, three hundred sixty million, nine hundred sixty-six thousand, four hundred".