3221028131400 has 576 divisors, whose sum is σ = 11424318796800. Its totient is φ = 843242400000.

The previous prime is 3221028131383. The next prime is 3221028131507. The reversal of 3221028131400 is 41318201223.

3221028131400 is a `hidden beast` number, since 3 + 22 + 102 + 8 + 131 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 866098741 + ... + 866102459.

It is an arithmetic number, because the mean of its divisors is an integer number (19833886800).

Almost surely, 2^{3221028131400} is an apocalyptic number.

3221028131400 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 3221028131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5712159398400).

3221028131400 is an abundant number, since it is smaller than the sum of its proper divisors (8203290665400).

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

3221028131400 is a wasteful number, since it uses less digits than its factorization.

3221028131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4072 (or 4051 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 3221028131400 in words is "three trillion, two hundred twenty-one billion, twenty-eight million, one hundred thirty-one thousand, four hundred".