38776034880 has 1008 divisors, whose sum is σ = 159815320704. Its totient is φ = 8868372480.

The previous prime is 38776034867. The next prime is 38776034923. The reversal of 38776034880 is 8843067783.

38776034880 is a `hidden beast` number, since 38 + 77 + 60 + 3 + 488 + 0 = 666.

It is a super-2 number, since 2×38776034880² (a number of 22 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 531178524 + ... + 531178596.

Almost surely, 2^38776034880 is an apocalyptic number.

38776034880 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 38776034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79907660352).

38776034880 is an abundant number, since it is smaller than the sum of its proper divisors (121039285824).

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

38776034880 is an equidigital number, since it uses as much as digits as its factorization.

38776034880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 117 counting only the distinct ones).

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

The spelling of 38776034880 in words is "thirty-eight billion, seven hundred seventy-six million, thirty-four thousand, eight hundred eighty".