38261188944 has 160 divisors (see below), whose sum is σ = 120016068480. Its totient is φ = 11574144000.

The previous prime is 38261188937. The next prime is 38261188949. The reversal of 38261188944 is 44988116283.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38261188949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2849254 + ... + 2862650.

It is an arithmetic number, because the mean of its divisors is an integer number (750100428).

Almost surely, 2^38261188944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38261188944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60008034240).

38261188944 is an abundant number, since it is smaller than the sum of its proper divisors (81754879536).

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

38261188944 is a wasteful number, since it uses less digits than its factorization.

38261188944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14026 (or 14014 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 38261188944 in words is "thirty-eight billion, two hundred sixty-one million, one hundred eighty-eight thousand, nine hundred forty-four".