3294632880 has 960 divisors, whose sum is σ = 14975041536. Its totient is φ = 653184000.

The previous prime is 3294632879. The next prime is 3294632893. The reversal of 3294632880 is 882364923.

3294632880 is a `hidden beast` number, since 3 + 2 + 9 + 4 + 632 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46403245 + ... + 46403315.

Almost surely, 2^3294632880 is an apocalyptic number.

3294632880 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 3294632880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7487520768).

3294632880 is an abundant number, since it is smaller than the sum of its proper divisors (11680408656).

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

3294632880 is a wasteful number, since it uses less digits than its factorization.

3294632880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3294632880 is about 57398.8926722459. The cubic root of 3294632880 is about 1487.9979838682.

The spelling of 3294632880 in words is "three billion, two hundred ninety-four million, six hundred thirty-two thousand, eight hundred eighty".