38198929020800 has 192 divisors, whose sum is σ = 98779220582400. Its totient is φ = 14578416384000.

The previous prime is 38198929020793. The next prime is 38198929020817. The reversal of 38198929020800 is 802092989183.

It is a super-2 number, since 2×38198929020800² (a number of 28 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 38198929020800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4331441 + ... + 9754959.

It is an arithmetic number, because the mean of its divisors is an integer number (514475107200).

Almost surely, 2^{38198929020800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38198929020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49389610291200).

38198929020800 is an abundant number, since it is smaller than the sum of its proper divisors (60580291561600).

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

38198929020800 is a wasteful number, since it uses less digits than its factorization.

38198929020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5423645 (or 5423628 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 59.

The spelling of 38198929020800 in words is "thirty-eight trillion, one hundred ninety-eight billion, nine hundred twenty-nine million, twenty thousand, eight hundred".