38740342700160 has 384 divisors, whose sum is σ = 136251814608000. Its totient is φ = 10141176545280.

The previous prime is 38740342700159. The next prime is 38740342700219. The reversal of 38740342700160 is 6100724304783.

38740342700160 is a `hidden beast` number, since 3 + 87 + 4 + 0 + 342 + 70 + 0 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70985125 + ... + 71528795.

It is an arithmetic number, because the mean of its divisors is an integer number (354822433875).

Almost surely, 2^{38740342700160} is an apocalyptic number.

38740342700160 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 38740342700160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68125907304000).

38740342700160 is an abundant number, since it is smaller than the sum of its proper divisors (97511471907840).

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

38740342700160 is a wasteful number, since it uses less digits than its factorization.

38740342700160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543924 (or 543909 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 38740342700160 in words is "thirty-eight trillion, seven hundred forty billion, three hundred forty-two million, seven hundred thousand, one hundred sixty".