38249359809696 has 144 divisors (see below), whose sum is σ = 124339553065728. Its totient is φ = 10925827315200.

The previous prime is 38249359809667. The next prime is 38249359809701. The reversal of 38249359809696 is 69690895394283.

38249359809696 is a `hidden beast` number, since 38 + 2 + 493 + 5 + 9 + 8 + 0 + 9 + 6 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×38249359809696² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6389206 + ... + 10831466.

It is an arithmetic number, because the mean of its divisors is an integer number (863469118512).

Almost surely, 2^{38249359809696} is an apocalyptic number.

38249359809696 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 38249359809696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62169776532864).

38249359809696 is an abundant number, since it is smaller than the sum of its proper divisors (86090193256032).

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

38249359809696 is a wasteful number, since it uses less digits than its factorization.

38249359809696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4446555 (or 4446544 counting only the distinct ones).

The product of its (nonzero) digits is 5441955840, while the sum is 81.

The spelling of 38249359809696 in words is "thirty-eight trillion, two hundred forty-nine billion, three hundred fifty-nine million, eight hundred nine thousand, six hundred ninety-six".