38552674095936 has 4480 divisors, whose sum is σ = 166283430297600. Its totient is φ = 8691005030400.

The previous prime is 38552674095917. The next prime is 38552674095973. The reversal of 38552674095936 is 63959047625583.

38552674095936 is a `hidden beast` number, since 3 + 8 + 5 + 5 + 26 + 7 + 4 + 0 + 9 + 593 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 528118823196 + ... + 528118823268.

It is an arithmetic number, because the mean of its divisors is an integer number (37116837120).

Almost surely, 2^{38552674095936} is an apocalyptic number.

38552674095936 is a gapful number since it is divisible by the number (36) 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 38552674095936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83141715148800).

38552674095936 is an abundant number, since it is smaller than the sum of its proper divisors (127730756201664).

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

38552674095936 is a wasteful number, since it uses less digits than its factorization.

38552674095936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1469664000, while the sum is 72.

The spelling of 38552674095936 in words is "thirty-eight trillion, five hundred fifty-two billion, six hundred seventy-four million, ninety-five thousand, nine hundred thirty-six".