352661760 has 432 divisors, whose sum is σ = 1400450688. Its totient is φ = 81776640.

The previous prime is 352661741. The next prime is 352661809. The reversal of 352661760 is 67166253.

352661760 is a `hidden beast` number, since 3 + 526 + 61 + 76 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 15333109 + ... + 15333131.

It is an arithmetic number, because the mean of its divisors is an integer number (3241784).

Almost surely, 2^352661760 is an apocalyptic number.

352661760 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 352661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700225344).

352661760 is an abundant number, since it is smaller than the sum of its proper divisors (1047788928).

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

352661760 is a wasteful number, since it uses less digits than its factorization.

352661760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 352661760 is about 18779.2907214303. The cubic root of 352661760 is about 706.5118603977.

The spelling of 352661760 in words is "three hundred fifty-two million, six hundred sixty-one thousand, seven hundred sixty".