38277632160 has 336 divisors, whose sum is σ = 136896098976. Its totient is φ = 10108675584.

The previous prime is 38277632149. The next prime is 38277632167. The reversal of 38277632160 is 6123677283.

38277632160 is a `hidden beast` number, since 3 + 8 + 2 + 7 + 7 + 632 + 1 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (38277632167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12478947 + ... + 12482013.

It is an arithmetic number, because the mean of its divisors is an integer number (407428866).

Almost surely, 2^38277632160 is an apocalyptic number.

38277632160 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 38277632160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68448049488).

38277632160 is an abundant number, since it is smaller than the sum of its proper divisors (98618466816).

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

38277632160 is a wasteful number, since it uses less digits than its factorization.

38277632160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3207 (or 3184 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 38277632160 in words is "thirty-eight billion, two hundred seventy-seven million, six hundred thirty-two thousand, one hundred sixty".