38970250629120 has 156 divisors (see below), whose sum is σ = 135080378169516. Its totient is φ = 10392066785280.

The previous prime is 38970250629091. The next prime is 38970250629127. The reversal of 38970250629120 is 2192605207983.

38970250629120 is a `hidden beast` number, since 3 + 8 + 9 + 7 + 0 + 2 + 5 + 0 + 629 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11164793573376 + 27805457055744 = 3341376^2 + 5273088^2 .

It is not an unprimeable number, because it can be changed into a prime (38970250629127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105529251 + ... + 105897890.

It is an arithmetic number, because the mean of its divisors is an integer number (865899860061).

Almost surely, 2^{38970250629120} is an apocalyptic number.

38970250629120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38970250629120 is an abundant number, since it is smaller than the sum of its proper divisors (96110127540396).

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

38970250629120 is a wasteful number, since it uses less digits than its factorization.

38970250629120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211427176 (or 211427151 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 38970250629120 in words is "thirty-eight trillion, nine hundred seventy billion, two hundred fifty million, six hundred twenty-nine thousand, one hundred twenty".