38382960000 has 1280 divisors, whose sum is σ = 166410731520. Its totient is φ = 7603200000.

The previous prime is 38382959999. The next prime is 38382960013. The reversal of 38382960000 is 6928383.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 572879967 + ... + 572880033.

It is an arithmetic number, because the mean of its divisors is an integer number (130008384).

Almost surely, 2^38382960000 is an apocalyptic number.

38382960000 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 38382960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83205365760).

38382960000 is an abundant number, since it is smaller than the sum of its proper divisors (128027771520).

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

38382960000 is a wasteful number, since it uses less digits than its factorization.

38382960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 38382960000 in words is "thirty-eight billion, three hundred eighty-two million, nine hundred sixty thousand".