38776274680 has 384 divisors, whose sum is σ = 108591840000. Its totient is φ = 12361789440.

The previous prime is 38776274657. The next prime is 38776274681. The reversal of 38776274680 is 8647267783.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38776274681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 144149586 + ... + 144149854.

It is an arithmetic number, because the mean of its divisors is an integer number (282791250).

Almost surely, 2^38776274680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38776274680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54295920000).

38776274680 is an abundant number, since it is smaller than the sum of its proper divisors (69815565320).

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

38776274680 is a wasteful number, since it uses less digits than its factorization.

38776274680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 58.

The spelling of 38776274680 in words is "thirty-eight billion, seven hundred seventy-six million, two hundred seventy-four thousand, six hundred eighty".