3315686400 has 792 divisors, whose sum is σ = 13581828624. Its totient is φ = 796262400.

The previous prime is 3315686347. The next prime is 3315686411. The reversal of 3315686400 is 46865133.

3315686400 is a `hidden beast` number, since 3 + 3 + 1 + 5 + 6 + 8 + 640 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80870380 + ... + 80870420.

Almost surely, 2^3315686400 is an apocalyptic number.

3315686400 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 3315686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6790914312).

3315686400 is an abundant number, since it is smaller than the sum of its proper divisors (10266142224).

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

3315686400 is a wasteful number, since it uses less digits than its factorization.

3315686400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3315686400 is about 57581.9971866208. The cubic root of 3315686400 is about 1491.1608148508.

The spelling of 3315686400 in words is "three billion, three hundred fifteen million, six hundred eighty-six thousand, four hundred".