38761339830240 has 192 divisors, whose sum is σ = 124966420862976. Its totient is φ = 10093657147392.

The previous prime is 38761339830181. The next prime is 38761339830259. The reversal of 38761339830240 is 4203893316783.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90540529 + ... + 90967631.

It is an arithmetic number, because the mean of its divisors is an integer number (650866775328).

Almost surely, 2^{38761339830240} is an apocalyptic number.

38761339830240 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 38761339830240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62483210431488).

38761339830240 is an abundant number, since it is smaller than the sum of its proper divisors (86205081032736).

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

38761339830240 is a wasteful number, since it uses less digits than its factorization.

38761339830240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431561 (or 431553 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 57.

The spelling of 38761339830240 in words is "thirty-eight trillion, seven hundred sixty-one billion, three hundred thirty-nine million, eight hundred thirty thousand, two hundred forty".