3264933870144 has 448 divisors, whose sum is σ = 10369372078080. Its totient is φ = 1004425297920.

The previous prime is 3264933870109. The next prime is 3264933870151. The reversal of 3264933870144 is 4410783394623.

It is a happy number.

3264933870144 is a `hidden beast` number, since 3 + 2 + 6 + 493 + 3 + 8 + 7 + 0 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 434914839 + ... + 434922345.

Almost surely, 2^{3264933870144} 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 3264933870144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184686039040).

3264933870144 is an abundant number, since it is smaller than the sum of its proper divisors (7104438207936).

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

3264933870144 is a wasteful number, since it uses less digits than its factorization.

3264933870144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7935 (or 7919 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 3264933870144 in words is "three trillion, two hundred sixty-four billion, nine hundred thirty-three million, eight hundred seventy thousand, one hundred forty-four".