3288406002400 has 72 divisors (see below), whose sum is σ = 8500045962240. Its totient is φ = 1237988136960.

The previous prime is 3288406002389. The next prime is 3288406002421. The reversal of 3288406002400 is 42006048823.

It is a super-2 number, since 2×3288406002400² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3288406002400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120883680 + ... + 120910879.

It is an arithmetic number, because the mean of its divisors is an integer number (118056193920).

Almost surely, 2^{3288406002400} is an apocalyptic number.

It is an amenable number.

3288406002400 is an abundant number, since it is smaller than the sum of its proper divisors (5211639959840).

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

3288406002400 is a wasteful number, since it uses less digits than its factorization.

3288406002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241794596 (or 241794583 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The spelling of 3288406002400 in words is "three trillion, two hundred eighty-eight billion, four hundred six million, two thousand, four hundred".