352413701640 has 2880 divisors, whose sum is σ = 1748194176960. Its totient is φ = 62548899840.

The previous prime is 352413701623. The next prime is 352413701677. The reversal of 352413701640 is 46107314253.

352413701640 is a `hidden beast` number, since 3 + 5 + 2 + 4 + 1 + 3 + 7 + 0 + 1 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 352413701595 and 352413701604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 8195667459 + ... + 8195667501.

It is an arithmetic number, because the mean of its divisors is an integer number (607011867).

Almost surely, 2^352413701640 is an apocalyptic number.

352413701640 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 352413701640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874097088480).

352413701640 is an abundant number, since it is smaller than the sum of its proper divisors (1395780475320).

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

352413701640 is a wasteful number, since it uses less digits than its factorization.

352413701640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 352413701640 in words is "three hundred fifty-two billion, four hundred thirteen million, seven hundred one thousand, six hundred forty".