38488369920 has 2304 divisors, whose sum is σ = 189882040320. Its totient is φ = 6370099200.

The previous prime is 38488369919. The next prime is 38488369963. The reversal of 38488369920 is 2996388483.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1241560305 + ... + 1241560335.

It is an arithmetic number, because the mean of its divisors is an integer number (82414080).

Almost surely, 2^38488369920 is an apocalyptic number.

38488369920 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 38488369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94941020160).

38488369920 is an abundant number, since it is smaller than the sum of its proper divisors (151393670400).

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

38488369920 is a wasteful number, since it uses less digits than its factorization.

38488369920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 60.

The spelling of 38488369920 in words is "thirty-eight billion, four hundred eighty-eight million, three hundred sixty-nine thousand, nine hundred twenty".