3262283968320 has 1120 divisors, whose sum is σ = 13659893001216. Its totient is φ = 731367014400.

The previous prime is 3262283968301. The next prime is 3262283968373. The reversal of 3262283968320 is 238693822623.

3262283968320 is a `hidden beast` number, since 3 + 2 + 6 + 228 + 3 + 96 + 8 + 320 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 177568735 + ... + 177587105.

Almost surely, 2^{3262283968320} is an apocalyptic number.

3262283968320 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 3262283968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6829946500608).

3262283968320 is an abundant number, since it is smaller than the sum of its proper divisors (10397609032896).

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

3262283968320 is a wasteful number, since it uses less digits than its factorization.

3262283968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18461 (or 18442 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 3262283968320 in words is "three trillion, two hundred sixty-two billion, two hundred eighty-three million, nine hundred sixty-eight thousand, three hundred twenty".