352046152260 has 384 divisors, whose sum is σ = 1230537369600. Its totient is φ = 82819376640.

The previous prime is 352046152259. The next prime is 352046152273. The reversal of 352046152260 is 62251640253.

352046152260 is a `hidden beast` number, since 3 + 520 + 4 + 61 + 52 + 26 + 0 = 666.

It is a super-2 number, since 2×352046152260² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 40096551 + ... + 40105329.

It is an arithmetic number, because the mean of its divisors is an integer number (3204524400).

Almost surely, 2^352046152260 is an apocalyptic number.

352046152260 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 352046152260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615268684800).

352046152260 is an abundant number, since it is smaller than the sum of its proper divisors (878491217340).

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

352046152260 is a wasteful number, since it uses less digits than its factorization.

352046152260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9008 (or 9000 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 352046152260 in words is "three hundred fifty-two billion, forty-six million, one hundred fifty-two thousand, two hundred sixty".