352615680 has 360 divisors, whose sum is σ = 1335549600. Its totient is φ = 88584192.

The previous prime is 352615651. The next prime is 352615723. The reversal of 352615680 is 86516253.

352615680 is a `hidden beast` number, since 3 + 526 + 1 + 56 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1969831 + ... + 1970009.

It is an arithmetic number, because the mean of its divisors is an integer number (3709860).

Almost surely, 2^352615680 is an apocalyptic number.

352615680 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 352615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667774800).

352615680 is an abundant number, since it is smaller than the sum of its proper divisors (982933920).

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

352615680 is a wasteful number, since it uses less digits than its factorization.

352615680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 352615680 is about 18778.0637979532. The cubic root of 352615680 is about 706.4810872999.

The spelling of 352615680 in words is "three hundred fifty-two million, six hundred fifteen thousand, six hundred eighty".