38972077916520 has 1280 divisors, whose sum is σ = 148388355440640. Its totient is φ = 8014605041664.

The previous prime is 38972077916449. The next prime is 38972077916531. The reversal of 38972077916520 is 2561977027983.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 174762681129 + ... + 174762681351.

It is an arithmetic number, because the mean of its divisors is an integer number (115928402688).

Almost surely, 2^{38972077916520} is an apocalyptic number.

38972077916520 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 38972077916520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74194177720320).

38972077916520 is an abundant number, since it is smaller than the sum of its proper divisors (109416277524120).

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

38972077916520 is a wasteful number, since it uses less digits than its factorization.

38972077916520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 66.

The spelling of 38972077916520 in words is "thirty-eight trillion, nine hundred seventy-two billion, seventy-seven million, nine hundred sixteen thousand, five hundred twenty".