38749759819776 has 156 divisors (see below), whose sum is σ = 111943182032500. Its totient is φ = 12915075317760.

The previous prime is 38749759819763. The next prime is 38749759819867. The reversal of 38749759819776 is 67791895794783.

38749759819776 is a `hidden beast` number, since 3 + 8 + 7 + 4 + 9 + 7 + 598 + 1 + 9 + 7 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25202649010176 + 13547110809600 = 5020224^2 + 3680640^2 .

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 11 ways as a sum of consecutive naturals, for example, 340603350 + ... + 340717098.

Almost surely, 2^{38749759819776} is an apocalyptic number.

38749759819776 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 38749759819776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55971591016250).

38749759819776 is an abundant number, since it is smaller than the sum of its proper divisors (73193422212724).

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

38749759819776 is a wasteful number, since it uses less digits than its factorization.

38749759819776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123020 (or 122995 counting only the distinct ones).

The product of its digits is 40327580160, while the sum is 90.

The spelling of 38749759819776 in words is "thirty-eight trillion, seven hundred forty-nine billion, seven hundred fifty-nine million, eight hundred nineteen thousand, seven hundred seventy-six".