38371828560 has 240 divisors, whose sum is σ = 129185374464. Its totient is φ = 9417627648.

The previous prime is 38371828543. The next prime is 38371828591. The reversal of 38371828560 is 6582817383.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 16101129 + ... + 16103511.

Almost surely, 2^38371828560 is an apocalyptic number.

38371828560 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 38371828560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64592687232).

38371828560 is an abundant number, since it is smaller than the sum of its proper divisors (90813545904).

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

38371828560 is a wasteful number, since it uses less digits than its factorization.

38371828560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822 (or 2803 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 38371828560 in words is "thirty-eight billion, three hundred seventy-one million, eight hundred twenty-eight thousand, five hundred sixty".