38150125977600 has 3060 divisors, whose sum is σ = 175624289418336. Its totient is φ = 8049257349120.

The previous prime is 38150125977571. The next prime is 38150125977611. The reversal of 38150125977600 is 677952105183.

38150125977600 is a `hidden beast` number, since 3 + 8 + 1 + 5 + 0 + 1 + 25 + 9 + 7 + 7 + 600 = 666.

It is a super-2 number, since 2×38150125977600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2934625075194 + ... + 2934625075206.

Almost surely, 2^{38150125977600} is an apocalyptic number.

38150125977600 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 38150125977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87812144709168).

38150125977600 is an abundant number, since it is smaller than the sum of its proper divisors (137474163440736).

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

38150125977600 is an frugal number, since it uses more digits than its factorization.

38150125977600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

It can be divided in two parts, 38150 and 125977600, that added together give a triangular number (126015750 = T₁₅₈₇₅).

The spelling of 38150125977600 in words is "thirty-eight trillion, one hundred fifty billion, one hundred twenty-five million, nine hundred seventy-seven thousand, six hundred".