3264150306816 has 1224 divisors, whose sum is σ = 11748071986560. Its totient is φ = 902515654656.

The previous prime is 3264150306803. The next prime is 3264150306821. The reversal of 3264150306816 is 6186030514623.

3264150306816 is a `hidden beast` number, since 3 + 2 + 64 + 1 + 503 + 0 + 6 + 81 + 6 = 666.

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, 36675846100 + ... + 36675846188.

Almost surely, 2^{3264150306816} is an apocalyptic number.

3264150306816 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 3264150306816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5874035993280).

3264150306816 is an abundant number, since it is smaller than the sum of its proper divisors (8483921679744).

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

3264150306816 is an frugal number, since it uses more digits than its factorization.

3264150306816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 3264150306816 in words is "three trillion, two hundred sixty-four billion, one hundred fifty million, three hundred six thousand, eight hundred sixteen".