38677294656 has 1008 divisors, whose sum is σ = 156102710400. Its totient is φ = 9022648320.

The previous prime is 38677294637. The next prime is 38677294657. The reversal of 38677294656 is 65649277683.

38677294656 is a `hidden beast` number, since 3 + 86 + 77 + 29 + 465 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a junction number, because it is equal to n+sod(n) for n = 38677294593 and 38677294602.

It is not an unprimeable number, because it can be changed into a prime (38677294657) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1045332270 + ... + 1045332306.

It is an arithmetic number, because the mean of its divisors is an integer number (154863800).

Almost surely, 2^38677294656 is an apocalyptic number.

38677294656 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 38677294656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78051355200).

38677294656 is an abundant number, since it is smaller than the sum of its proper divisors (117425415744).

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

38677294656 is a wasteful number, since it uses less digits than its factorization.

38677294656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 73 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

It can be divided in two parts, 38677 and 294656, that added together give a palindrome (333333).

The spelling of 38677294656 in words is "thirty-eight billion, six hundred seventy-seven million, two hundred ninety-four thousand, six hundred fifty-six".