352471680 has 192 divisors, whose sum is σ = 1328015520. Its totient is φ = 85432320.

The previous prime is 352471673. The next prime is 352471681. The reversal of 352471680 is 86174253.

352471680 is a `hidden beast` number, since 3 + 524 + 71 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (352471681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60579 + ... + 66141.

Almost surely, 2^352471680 is an apocalyptic number.

352471680 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 352471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664007760).

352471680 is an abundant number, since it is smaller than the sum of its proper divisors (975543840).

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

352471680 is a wasteful number, since it uses less digits than its factorization.

352471680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5599 (or 5584 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 352471680 is about 18774.2291452938. The cubic root of 352471680 is about 706.3849040859.

The spelling of 352471680 in words is "three hundred fifty-two million, four hundred seventy-one thousand, six hundred eighty".