38792234880 has 640 divisors, whose sum is σ = 161391890880. Its totient is φ = 8695185408.

The previous prime is 38792234851. The next prime is 38792234893. The reversal of 38792234880 is 8843229783.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×38792234880² (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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19231632 + ... + 19233648.

Almost surely, 2^38792234880 is an apocalyptic number.

38792234880 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 38792234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80695945440).

38792234880 is an abundant number, since it is smaller than the sum of its proper divisors (122599656000).

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

38792234880 is a wasteful number, since it uses less digits than its factorization.

38792234880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 38792234880 in words is "thirty-eight billion, seven hundred ninety-two million, two hundred thirty-four thousand, eight hundred eighty".