38061293088 has 576 divisors, whose sum is σ = 134584934400. Its totient is φ = 9186877440.

The previous prime is 38061293087. The next prime is 38061293141. The reversal of 38061293088 is 88039216083.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (38061293087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66891268 + ... + 66891836.

It is an arithmetic number, because the mean of its divisors is an integer number (233654400).

Almost surely, 2^38061293088 is an apocalyptic number.

38061293088 is a gapful number since it is divisible by the number (38) 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 38061293088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67292467200).

38061293088 is an abundant number, since it is smaller than the sum of its proper divisors (96523641312).

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

38061293088 is a wasteful number, since it uses less digits than its factorization.

38061293088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 38061293088 in words is "thirty-eight billion, sixty-one million, two hundred ninety-three thousand, eighty-eight".