3312892000 has 384 divisors, whose sum is σ = 9714152448. Its totient is φ = 1096704000.

The previous prime is 3312891991. The next prime is 3312892001. The reversal of 3312892000 is 2982133.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3312892000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3312892001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32163949 + ... + 32164051.

It is an arithmetic number, because the mean of its divisors is an integer number (25297272).

Almost surely, 2^3312892000 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 3312892000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4857076224).

3312892000 is an abundant number, since it is smaller than the sum of its proper divisors (6401260448).

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

3312892000 is a wasteful number, since it uses less digits than its factorization.

3312892000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 3312892000 is about 57557.7275437452. The cubic root of 3312892000 is about 1490.7417894040.

The spelling of 3312892000 in words is "three billion, three hundred twelve million, eight hundred ninety-two thousand".