3285792132480 has 1152 divisors, whose sum is σ = 13532654772000. Its totient is φ = 729712558080.

The previous prime is 3285792132479. The next prime is 3285792132517. The reversal of 3285792132480 is 842312975823.

3285792132480 is a `hidden beast` number, since 3 + 2 + 8 + 579 + 21 + 3 + 2 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

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, 1259405416 + ... + 1259408024.

Almost surely, 2^{3285792132480} is an apocalyptic number.

3285792132480 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 3285792132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6766327386000).

3285792132480 is an abundant number, since it is smaller than the sum of its proper divisors (10246862639520).

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

3285792132480 is a wasteful number, since it uses less digits than its factorization.

3285792132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2808 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 3285792132480 in words is "three trillion, two hundred eighty-five billion, seven hundred ninety-two million, one hundred thirty-two thousand, four hundred eighty".