38396340576 has 576 divisors, whose sum is σ = 133541291520. Its totient is φ = 10729635840.

The previous prime is 38396340571. The next prime is 38396340581. The reversal of 38396340576 is 67504369383.

38396340576 is a `hidden beast` number, since 3 + 8 + 3 + 9 + 63 + 4 + 0 + 576 = 666.

It is an interprime number because it is at equal distance from previous prime (38396340571) and next prime (38396340581).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38396340571) 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, 57052176 + ... + 57052848.

It is an arithmetic number, because the mean of its divisors is an integer number (231842520).

Almost surely, 2^38396340576 is an apocalyptic number.

38396340576 is a gapful number since it is divisible by the number (36) 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 38396340576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66770645760).

38396340576 is an abundant number, since it is smaller than the sum of its proper divisors (95144950944).

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

38396340576 is a wasteful number, since it uses less digits than its factorization.

38396340576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 38396340576 in words is "thirty-eight billion, three hundred ninety-six million, three hundred forty thousand, five hundred seventy-six".