38823105396900 has 144 divisors (see below), whose sum is σ = 122938993900800. Its totient is φ = 9381004790400.

The previous prime is 38823105396869. The next prime is 38823105396923. The reversal of 38823105396900 is 969350132883.

It is a happy number.

It is a super-2 number, since 2×38823105396900² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18147450 + ... + 20173649.

It is an arithmetic number, because the mean of its divisors is an integer number (853743013200).

Almost surely, 2^{38823105396900} is an apocalyptic number.

38823105396900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38823105396900 is an abundant number, since it is smaller than the sum of its proper divisors (84115888503900).

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

38823105396900 is a wasteful number, since it uses less digits than its factorization.

38823105396900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38321434 (or 38321427 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 57.

The spelling of 38823105396900 in words is "thirty-eight trillion, eight hundred twenty-three billion, one hundred five million, three hundred ninety-six thousand, nine hundred".