3231406021200 has 960 divisors, whose sum is σ = 12402512855040. Its totient is φ = 703945728000.

The previous prime is 3231406021199. The next prime is 3231406021229. The reversal of 3231406021200 is 21206041323.

It is a super-2 number, since 2×3231406021200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 2625024585 + ... + 2625025815.

It is an arithmetic number, because the mean of its divisors is an integer number (12919284224).

Almost surely, 2^{3231406021200} is an apocalyptic number.

3231406021200 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 3231406021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6201256427520).

3231406021200 is an abundant number, since it is smaller than the sum of its proper divisors (9171106833840).

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

3231406021200 is a wasteful number, since it uses less digits than its factorization.

3231406021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The spelling of 3231406021200 in words is "three trillion, two hundred thirty-one billion, four hundred six million, twenty-one thousand, two hundred".