38764761840 has 320 divisors, whose sum is σ = 154176798720. Its totient is φ = 8768839680.

The previous prime is 38764761803. The next prime is 38764761901. The reversal of 38764761840 is 4816746783.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1453425 + ... + 1479855.

It is an arithmetic number, because the mean of its divisors is an integer number (481802496).

Almost surely, 2^38764761840 is an apocalyptic number.

38764761840 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 38764761840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77088399360).

38764761840 is an abundant number, since it is smaller than the sum of its proper divisors (115412036880).

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

38764761840 is a wasteful number, since it uses less digits than its factorization.

38764761840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26557 (or 26545 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 38764761840 in words is "thirty-eight billion, seven hundred sixty-four million, seven hundred sixty-one thousand, eight hundred forty".