3294756864 has 432 divisors, whose sum is σ = 11953720800. Its totient is φ = 891813888.

The previous prime is 3294756863. The next prime is 3294756887. The reversal of 3294756864 is 4686574923.

3294756864 is a `hidden beast` number, since 32 + 9 + 47 + 568 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×3294756864² = 21710845585750228992, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3294756864.

It is not an unprimeable number, because it can be changed into a prime (3294756863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173408247 + ... + 173408265.

It is an arithmetic number, because the mean of its divisors is an integer number (27670650).

Almost surely, 2^3294756864 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 3294756864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5976860400).

3294756864 is an abundant number, since it is smaller than the sum of its proper divisors (8658963936).

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

3294756864 is an frugal number, since it uses more digits than its factorization.

3294756864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 31 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 3294756864 is about 57399.9726829203. The cubic root of 3294756864 is about 1488.0166491373.

The spelling of 3294756864 in words is "three billion, two hundred ninety-four million, seven hundred fifty-six thousand, eight hundred sixty-four".