352630938240 has 768 divisors, whose sum is σ = 1483881638400. Its totient is φ = 78877532160.

The previous prime is 352630938161. The next prime is 352630938241. The reversal of 352630938240 is 42839036253.

352630938240 is a `hidden beast` number, since 3 + 5 + 2 + 630 + 9 + 3 + 8 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (352630938241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39791410 + ... + 39800270.

It is an arithmetic number, because the mean of its divisors is an integer number (1932137550).

Almost surely, 2^352630938240 is an apocalyptic number.

352630938240 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 352630938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741940819200).

352630938240 is an abundant number, since it is smaller than the sum of its proper divisors (1131250700160).

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

352630938240 is a wasteful number, since it uses less digits than its factorization.

352630938240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8950 (or 8925 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 352630938240 in words is "three hundred fifty-two billion, six hundred thirty million, nine hundred thirty-eight thousand, two hundred forty".