38132952000 has 896 divisors, whose sum is σ = 152095297536. Its totient is φ = 8294400000.

The previous prime is 38132951993. The next prime is 38132952007. The reversal of 38132952000 is 25923183.

It is an interprime number because it is at equal distance from previous prime (38132951993) and next prime (38132952007).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38132952007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 140711865 + ... + 140712135.

It is an arithmetic number, because the mean of its divisors is an integer number (169749216).

Almost surely, 2^38132952000 is an apocalyptic number.

38132952000 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 38132952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76047648768).

38132952000 is an abundant number, since it is smaller than the sum of its proper divisors (113962345536).

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

38132952000 is a wasteful number, since it uses less digits than its factorization.

38132952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 38132952000 in words is "thirty-eight billion, one hundred thirty-two million, nine hundred fifty-two thousand".