38354709120 has 1024 divisors, whose sum is σ = 164094336000. Its totient is φ = 7389315072.

The previous prime is 38354709091. The next prime is 38354709163. The reversal of 38354709120 is 2190745383.

It is a super-2 number, since 2×38354709120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 109898706 + ... + 109899054.

It is an arithmetic number, because the mean of its divisors is an integer number (160248375).

Almost surely, 2^38354709120 is an apocalyptic number.

38354709120 is a gapful number since it is divisible by the number (30) 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 38354709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82047168000).

38354709120 is an abundant number, since it is smaller than the sum of its proper divisors (125739626880).

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

38354709120 is a wasteful number, since it uses less digits than its factorization.

38354709120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 38354709120 in words is "thirty-eight billion, three hundred fifty-four million, seven hundred nine thousand, one hundred twenty".