38270469120 has 528 divisors, whose sum is σ = 138524452992. Its totient is φ = 8996782080.

The previous prime is 38270469049. The next prime is 38270469169. The reversal of 38270469120 is 2196407283.

It is a super-3 number, since 3×38270469120³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59704000 + ... + 59704640.

Almost surely, 2^38270469120 is an apocalyptic number.

38270469120 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 38270469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69262226496).

38270469120 is an abundant number, since it is smaller than the sum of its proper divisors (100253983872).

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

38270469120 is a wasteful number, since it uses less digits than its factorization.

38270469120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 38270469120 in words is "thirty-eight billion, two hundred seventy million, four hundred sixty-nine thousand, one hundred twenty".