38874662830080 has 1920 divisors, whose sum is σ = 175576753440000. Its totient is φ = 8069924782080.

The previous prime is 38874662830063. The next prime is 38874662830117. The reversal of 38874662830080 is 8003826647883.

38874662830080 is a `hidden beast` number, since 388 + 7 + 46 + 62 + 83 + 0 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×38874662830080² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38149815811 + ... + 38149816829.

It is an arithmetic number, because the mean of its divisors is an integer number (91446225750).

Almost surely, 2^{38874662830080} is an apocalyptic number.

38874662830080 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 38874662830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87788376720000).

38874662830080 is an abundant number, since it is smaller than the sum of its proper divisors (136702090609920).

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

38874662830080 is an equidigital number, since it uses as much as digits as its factorization.

38874662830080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 38874662830080 in words is "thirty-eight trillion, eight hundred seventy-four billion, six hundred sixty-two million, eight hundred thirty thousand, eighty".