38068652160 has 1728 divisors, whose sum is σ = 181916804160. Its totient is φ = 7445053440.

The previous prime is 38068652099. The next prime is 38068652173. The reversal of 38068652160 is 6125686083.

38068652160 is a `hidden beast` number, since 3 + 8 + 0 + 68 + 6 + 521 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2239332472 + ... + 2239332488.

Almost surely, 2^38068652160 is an apocalyptic number.

38068652160 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 38068652160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90958402080).

38068652160 is an abundant number, since it is smaller than the sum of its proper divisors (143848152000).

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

38068652160 is a wasteful number, since it uses less digits than its factorization.

38068652160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 38068652160 in words is "thirty-eight billion, sixty-eight million, six hundred fifty-two thousand, one hundred sixty".