38128231152000 has 1536 divisors, whose sum is σ = 157958882265600. Its totient is φ = 8716584960000.

The previous prime is 38128231151977. The next prime is 38128231152041. The reversal of 38128231152000 is 25113282183.

38128231152000 is a `hidden beast` number, since 3 + 8 + 128 + 2 + 3 + 1 + 1 + 520 + 0 + 0 = 666.

It is a super-4 number, since 4×38128231152000⁴ (a number of 55 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6831789210 + ... + 6831794790.

It is an arithmetic number, because the mean of its divisors is an integer number (102837813975).

Almost surely, 2^{38128231152000} is an apocalyptic number.

38128231152000 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 38128231152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78979441132800).

38128231152000 is an abundant number, since it is smaller than the sum of its proper divisors (119830651113600).

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

38128231152000 is a wasteful number, since it uses less digits than its factorization.

38128231152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5873 (or 5848 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 38128231152000 in words is "thirty-eight trillion, one hundred twenty-eight billion, two hundred thirty-one million, one hundred fifty-two thousand".