38980767840 has 384 divisors, whose sum is σ = 148203095040. Its totient is φ = 8413175808.

The previous prime is 38980767827. The next prime is 38980767851. The reversal of 38980767840 is 4876708983.

It is a super-2 number, since 2×38980767840² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23811502 + ... + 23813138.

It is an arithmetic number, because the mean of its divisors is an integer number (385945560).

Almost surely, 2^38980767840 is an apocalyptic number.

38980767840 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 38980767840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74101547520).

38980767840 is an abundant number, since it is smaller than the sum of its proper divisors (109222327200).

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

38980767840 is a wasteful number, since it uses less digits than its factorization.

38980767840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 60.

The spelling of 38980767840 in words is "thirty-eight billion, nine hundred eighty million, seven hundred sixty-seven thousand, eight hundred forty".