3312894816 has 432 divisors, whose sum is σ = 12297422592. Its totient is φ = 858781440.

The previous prime is 3312894787. The next prime is 3312894857. The reversal of 3312894816 is 6184982133.

It is a tau number, because it is divible by the number of its divisors (432).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6586021 + ... + 6586523.

It is an arithmetic number, because the mean of its divisors is an integer number (28466256).

Almost surely, 2^3312894816 is an apocalyptic number.

3312894816 is a gapful number since it is divisible by the number (36) 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 3312894816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6148711296).

3312894816 is an abundant number, since it is smaller than the sum of its proper divisors (8984527776).

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

3312894816 is a wasteful number, since it uses less digits than its factorization.

3312894816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 526 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 3312894816 is about 57557.7520061373. The cubic root of 3312894816 is about 1490.7422117870.

The spelling of 3312894816 in words is "three billion, three hundred twelve million, eight hundred ninety-four thousand, eight hundred sixteen".