368939036390400 has 5280 divisors, whose sum is σ = 1704213375744000. Its totient is φ = 78657984921600.

The previous prime is 368939036390399. The next prime is 368939036390461. The reversal of 368939036390400 is 4093630939863.

368939036390400 is a `hidden beast` number, since 3 + 6 + 8 + 93 + 90 + 36 + 390 + 40 + 0 = 666.

It is a super-2 number, since 2×368939036390400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 639409074912 + ... + 639409075488.

It is an arithmetic number, because the mean of its divisors is an integer number (322767684800).

Almost surely, 2^{368939036390400} is an apocalyptic number.

368939036390400 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 368939036390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852106687872000).

368939036390400 is an abundant number, since it is smaller than the sum of its proper divisors (1335274339353600).

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

368939036390400 is a wasteful number, since it uses less digits than its factorization.

368939036390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 68024448, while the sum is 63.

The spelling of 368939036390400 in words is "three hundred sixty-eight trillion, nine hundred thirty-nine billion, thirty-six million, three hundred ninety thousand, four hundred".