3332632680 has 576 divisors, whose sum is σ = 13083768000. Its totient is φ = 752094720.

The previous prime is 3332632673. The next prime is 3332632691. The reversal of 3332632680 is 862362333.

3332632680 is a `hidden beast` number, since 3 + 3 + 326 + 326 + 8 + 0 = 666.

It is a super-2 number, since 2×3332632680² = 22212881159607964800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 107504265 + ... + 107504295.

It is an arithmetic number, because the mean of its divisors is an integer number (22714875).

Almost surely, 2^3332632680 is an apocalyptic number.

3332632680 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 3332632680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6541884000).

3332632680 is an abundant number, since it is smaller than the sum of its proper divisors (9751135320).

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

3332632680 is a wasteful number, since it uses less digits than its factorization.

3332632680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 3332632680 is about 57728.9587642112. The cubic root of 3332632680 is about 1493.6969111458.

The spelling of 3332632680 in words is "three billion, three hundred thirty-two million, six hundred thirty-two thousand, six hundred eighty".