38002177980 has 144 divisors (see below), whose sum is σ = 125239907520. Its totient is φ = 9271535616.

The previous prime is 38002177963. The next prime is 38002177987. The reversal of 38002177980 is 8977120083.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38002177987) 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, 192561 + ... + 336279.

It is an arithmetic number, because the mean of its divisors is an integer number (869721580).

Almost surely, 2^38002177980 is an apocalyptic number.

38002177980 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 38002177980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62619953760).

38002177980 is an abundant number, since it is smaller than the sum of its proper divisors (87237729540).

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

38002177980 is a wasteful number, since it uses less digits than its factorization.

38002177980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143860 (or 143855 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 38002177980 in words is "thirty-eight billion, two million, one hundred seventy-seven thousand, nine hundred eighty".