38074639680 has 672 divisors, whose sum is σ = 169349806080. Its totient is φ = 7910369280.

The previous prime is 38074639663. The next prime is 38074639697. The reversal of 38074639680 is 8693647083.

It is an interprime number because it is at equal distance from previous prime (38074639663) and next prime (38074639697).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5984341 + ... + 5990699.

It is an arithmetic number, because the mean of its divisors is an integer number (252008640).

Almost surely, 2^38074639680 is an apocalyptic number.

38074639680 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 38074639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84674903040).

38074639680 is an abundant number, since it is smaller than the sum of its proper divisors (131275166400).

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

38074639680 is a wasteful number, since it uses less digits than its factorization.

38074639680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6409 (or 6387 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 38074639680 in words is "thirty-eight billion, seventy-four million, six hundred thirty-nine thousand, six hundred eighty".