38226296304 has 400 divisors, whose sum is σ = 130336747200. Its totient is φ = 10810920960.

The previous prime is 38226296279. The next prime is 38226296333. The reversal of 38226296304 is 40369262283.

It is a happy number.

38226296304 is a `hidden beast` number, since 3 + 8 + 2 + 2 + 6 + 2 + 9 + 630 + 4 = 666.

It is a super-2 number, since 2×38226296304² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38226296304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 50231284 + ... + 50232044.

It is an arithmetic number, because the mean of its divisors is an integer number (325841868).

Almost surely, 2^38226296304 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 38226296304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65168373600).

38226296304 is an abundant number, since it is smaller than the sum of its proper divisors (92110450896).

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

38226296304 is a wasteful number, since it uses less digits than its factorization.

38226296304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 38226296304 in words is "thirty-eight billion, two hundred twenty-six million, two hundred ninety-six thousand, three hundred four".