3312120075264 has 1584 divisors, whose sum is σ = 13090629586944. Its totient is φ = 784796221440.

The previous prime is 3312120075259. The next prime is 3312120075283. The reversal of 3312120075264 is 4625700212133.

3312120075264 is a `hidden beast` number, since 3 + 3 + 1 + 2 + 120 + 0 + 7 + 526 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12887626624 + ... + 12887626880.

Almost surely, 2^{3312120075264} 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 3312120075264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6545314793472).

3312120075264 is an abundant number, since it is smaller than the sum of its proper divisors (9778509511680).

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

3312120075264 is a wasteful number, since it uses less digits than its factorization.

3312120075264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 3312120075264 its reverse (4625700212133), we get a palindrome (7937820287397).

The spelling of 3312120075264 in words is "three trillion, three hundred twelve billion, one hundred twenty million, seventy-five thousand, two hundred sixty-four".