38980537920 has 336 divisors, whose sum is σ = 140103727920. Its totient is φ = 9934848000.

The previous prime is 38980537913. The next prime is 38980537927. The reversal of 38980537920 is 2973508983.

It is a happy number.

38980537920 is a `hidden beast` number, since 3 + 8 + 9 + 80 + 537 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (38980537913) and next prime (38980537927).

It can be written as a sum of positive squares in 8 ways, for example, as 1114491456 + 37866046464 = 33384^2 + 194592^2 .

It is not an unprimeable number, because it can be changed into a prime (38980537927) 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, 8433210 + ... + 8437830.

Almost surely, 2^38980537920 is an apocalyptic number.

38980537920 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 38980537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70051863960).

38980537920 is an abundant number, since it is smaller than the sum of its proper divisors (101123190000).

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

38980537920 is a wasteful number, since it uses less digits than its factorization.

38980537920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4774 (or 4761 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 38980537920 in words is "thirty-eight billion, nine hundred eighty million, five hundred thirty-seven thousand, nine hundred twenty".