38064091520 has 512 divisors, whose sum is σ = 119760076800. Its totient is φ = 11240570880.

The previous prime is 38064091463. The next prime is 38064091529. The reversal of 38064091520 is 2519046083.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38064091529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52357397 + ... + 52358123.

It is an arithmetic number, because the mean of its divisors is an integer number (233906400).

Almost surely, 2^38064091520 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 38064091520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59880038400).

38064091520 is an abundant number, since it is smaller than the sum of its proper divisors (81695985280).

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

38064091520 is a wasteful number, since it uses less digits than its factorization.

38064091520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 38064091520 in words is "thirty-eight billion, sixty-four million, ninety-one thousand, five hundred twenty".