38909399760 has 800 divisors, whose sum is σ = 174358483200. Its totient is φ = 7803371520.

The previous prime is 38909399741. The next prime is 38909399797. The reversal of 38909399760 is 6799390983.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14468496 + ... + 14471184.

It is an arithmetic number, because the mean of its divisors is an integer number (217948104).

Almost surely, 2^38909399760 is an apocalyptic number.

38909399760 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 38909399760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87179241600).

38909399760 is an abundant number, since it is smaller than the sum of its proper divisors (135449083440).

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

38909399760 is a wasteful number, since it uses less digits than its factorization.

38909399760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2761 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 19840464, while the sum is 63.

The spelling of 38909399760 in words is "thirty-eight billion, nine hundred nine million, three hundred ninety-nine thousand, seven hundred sixty".