3215233296000 has 2304 divisors, whose sum is σ = 13549034903040. Its totient is φ = 728555520000.

The previous prime is 3215233295999. The next prime is 3215233296031. The reversal of 3215233296000 is 6923325123.

3215233296000 is a `hidden beast` number, since 3 + 2 + 1 + 5 + 23 + 3 + 29 + 600 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 28453391944 + ... + 28453392056.

It is an arithmetic number, because the mean of its divisors is an integer number (5880657510).

Almost surely, 2^{3215233296000} is an apocalyptic number.

3215233296000 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 3215233296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6774517451520).

3215233296000 is an abundant number, since it is smaller than the sum of its proper divisors (10333801607040).

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

3215233296000 is a wasteful number, since it uses less digits than its factorization.

3215233296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 3215233296000 in words is "three trillion, two hundred fifteen billion, two hundred thirty-three million, two hundred ninety-six thousand".