38401375853888 has 112 divisors (see below), whose sum is σ = 80694256980480. Its totient is φ = 18100600326144.

The previous prime is 38401375853861. The next prime is 38401375853891. The reversal of 38401375853888 is 88835857310483.

It is a super-2 number, since 2×38401375853888² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213556145 + ... + 213735887.

Almost surely, 2^{38401375853888} 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 38401375853888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40347128490240).

38401375853888 is an abundant number, since it is smaller than the sum of its proper divisors (42292881126592).

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

38401375853888 is a wasteful number, since it uses less digits than its factorization.

38401375853888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182504 (or 182494 counting only the distinct ones).

The product of its (nonzero) digits is 619315200, while the sum is 71.

The spelling of 38401375853888 in words is "thirty-eight trillion, four hundred one billion, three hundred seventy-five million, eight hundred fifty-three thousand, eight hundred eighty-eight".