352086920640 has 2688 divisors, whose sum is σ = 1695663360000. Its totient is φ = 68474585088.

The previous prime is 352086920597. The next prime is 352086920687. The reversal of 352086920640 is 46029680253.

352086920640 is a `hidden beast` number, since 3 + 520 + 8 + 69 + 2 + 0 + 64 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9515862702 + ... + 9515862738.

Almost surely, 2^352086920640 is an apocalyptic number.

352086920640 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 352086920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847831680000).

352086920640 is an abundant number, since it is smaller than the sum of its proper divisors (1343576439360).

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

352086920640 is a wasteful number, since it uses less digits than its factorization.

352086920640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 352086920640 in words is "three hundred fifty-two billion, eighty-six million, nine hundred twenty thousand, six hundred forty".