351785494364640 has 576 divisors, whose sum is σ = 1319486590566144. Its totient is φ = 78510392819712.

The previous prime is 351785494364609. The next prime is 351785494364651. The reversal of 351785494364640 is 46463494587153.

It is a super-2 number, since 2×351785494364640² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2929849887 + ... + 2929969953.

It is an arithmetic number, because the mean of its divisors is an integer number (2290775330844).

Almost surely, 2^{351785494364640} is an apocalyptic number.

351785494364640 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 351785494364640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659743295283072).

351785494364640 is an abundant number, since it is smaller than the sum of its proper divisors (967701096201504).

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

351785494364640 is a wasteful number, since it uses less digits than its factorization.

351785494364640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123039 (or 123024 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 69.

The spelling of 351785494364640 in words is "three hundred fifty-one trillion, seven hundred eighty-five billion, four hundred ninety-four million, three hundred sixty-four thousand, six hundred forty".