38017128960 has 480 divisors, whose sum is σ = 135677887488. Its totient is φ = 9833840640.

The previous prime is 38017128913. The next prime is 38017128967. The reversal of 38017128960 is 6982171083.

38017128960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×38017128960² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (38017128967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199042465 + ... + 199042655.

Almost surely, 2^38017128960 is an apocalyptic number.

38017128960 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 38017128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67838943744).

38017128960 is an abundant number, since it is smaller than the sum of its proper divisors (97660758528).

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

38017128960 is a wasteful number, since it uses less digits than its factorization.

38017128960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 38017128960 in words is "thirty-eight billion, seventeen million, one hundred twenty-eight thousand, nine hundred sixty".