38948832000 has 864 divisors, whose sum is σ = 153904173696. Its totient is φ = 9400320000.

The previous prime is 38948831893. The next prime is 38948832037. The reversal of 38948832000 is 23884983.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 378143949 + ... + 378144051.

Almost surely, 2^38948832000 is an apocalyptic number.

38948832000 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 38948832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76952086848).

38948832000 is an abundant number, since it is smaller than the sum of its proper divisors (114955341696).

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

38948832000 is a wasteful number, since it uses less digits than its factorization.

38948832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 38948832000 in words is "thirty-eight billion, nine hundred forty-eight million, eight hundred thirty-two thousand".