38102296281504 has 1152 divisors, whose sum is σ = 135945529251840. Its totient is φ = 9229395861504.

The previous prime is 38102296281487. The next prime is 38102296281529. The reversal of 38102296281504 is 40518269220183.

It is a super-2 number, since 2×38102296281504² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13197884349 + ... + 13197887235.

It is an arithmetic number, because the mean of its divisors is an integer number (118008271920).

Almost surely, 2^{38102296281504} 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 38102296281504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67972764625920).

38102296281504 is an abundant number, since it is smaller than the sum of its proper divisors (97843232970336).

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

38102296281504 is a wasteful number, since it uses less digits than its factorization.

38102296281504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3290 (or 3275 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 38102296281504 in words is "thirty-eight trillion, one hundred two billion, two hundred ninety-six million, two hundred eighty-one thousand, five hundred four".