8900738352 has 640 divisors, whose sum is σ = 31266570240. Its totient is φ = 2395008000.

The previous prime is 8900738303. The next prime is 8900738369. The reversal of 8900738352 is 2538370098.

It is a junction number, because it is equal to n+sod(n) for n = 8900738298 and 8900738307.

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, 125362477 + ... + 125362547.

It is an arithmetic number, because the mean of its divisors is an integer number (48854016).

Almost surely, 2^8900738352 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 8900738352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15633285120).

8900738352 is an abundant number, since it is smaller than the sum of its proper divisors (22365831888).

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

8900738352 is a wasteful number, since it uses less digits than its factorization.

8900738352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 8900738352 is about 94343.7244971811. The cubic root of 8900738352 is about 2072.4084045112.

The spelling of 8900738352 in words is "eight billion, nine hundred million, seven hundred thirty-eight thousand, three hundred fifty-two".