3231387820800 has 1620 divisors, whose sum is σ = 13039985762496. Its totient is φ = 788598374400.

The previous prime is 3231387820763. The next prime is 3231387820909. The reversal of 3231387820800 is 80287831323.

3231387820800 is a `hidden beast` number, since 32 + 31 + 387 + 8 + 208 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

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 179 ways as a sum of consecutive naturals, for example, 5801414122 + ... + 5801414678.

Almost surely, 2^{3231387820800} is an apocalyptic number.

3231387820800 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 3231387820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6519992881248).

3231387820800 is an abundant number, since it is smaller than the sum of its proper divisors (9808597941696).

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

3231387820800 is a wasteful number, since it uses less digits than its factorization.

3231387820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 3231387820800 in words is "three trillion, two hundred thirty-one billion, three hundred eighty-seven million, eight hundred twenty thousand, eight hundred".