38835691440 has 640 divisors, whose sum is σ = 161056358400. Its totient is φ = 7509749760.

The previous prime is 38835691439. The next prime is 38835691457. The reversal of 38835691440 is 4419653883.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12862251 + ... + 12865269.

It is an arithmetic number, because the mean of its divisors is an integer number (251650560).

Almost surely, 2^38835691440 is an apocalyptic number.

38835691440 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 38835691440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80528179200).

38835691440 is an abundant number, since it is smaller than the sum of its proper divisors (122220666960).

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

38835691440 is a wasteful number, since it uses less digits than its factorization.

38835691440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 38835691440 in words is "thirty-eight billion, eight hundred thirty-five million, six hundred ninety-one thousand, four hundred forty".