38315645120880 has 640 divisors, whose sum is σ = 136073850716160. Its totient is φ = 9902523248640.

The previous prime is 38315645120833. The next prime is 38315645120891. The reversal of 38315645120880 is 8802154651383.

38315645120880 is a `hidden beast` number, since 3 + 8 + 3 + 1 + 564 + 51 + 20 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×38315645120880² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38663617185 + ... + 38663618175.

It is an arithmetic number, because the mean of its divisors is an integer number (212615391744).

Almost surely, 2^{38315645120880} is an apocalyptic number.

38315645120880 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 38315645120880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68036925358080).

38315645120880 is an abundant number, since it is smaller than the sum of its proper divisors (97758205595280).

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

38315645120880 is a wasteful number, since it uses less digits than its factorization.

38315645120880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2454 (or 2442 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 38315645120880 in words is "thirty-eight trillion, three hundred fifteen billion, six hundred forty-five million, one hundred twenty thousand, eight hundred eighty".