3390124622400 has 840 divisors, whose sum is σ = 12861115726536. Its totient is φ = 875357798400.

The previous prime is 3390124622369. The next prime is 3390124622413. The reversal of 3390124622400 is 42264210933.

3390124622400 is a `hidden beast` number, since 3 + 3 + 9 + 0 + 1 + 24 + 622 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2364312167424 + 1025812454976 = 1537632^2 + 1012824^2 .

It is a super-2 number, since 2×3390124622400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 727960872 + ... + 727965528.

Almost surely, 2^{3390124622400} is an apocalyptic number.

3390124622400 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 3390124622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6430557863268).

3390124622400 is an abundant number, since it is smaller than the sum of its proper divisors (9470991104136).

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

3390124622400 is a wasteful number, since it uses less digits than its factorization.

3390124622400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4869 (or 4845 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 3390124622400 in words is "three trillion, three hundred ninety billion, one hundred twenty-four million, six hundred twenty-two thousand, four hundred".