350965480274640 has 960 divisors, whose sum is σ = 1485907521546240. Its totient is φ = 72115937832960.

The previous prime is 350965480274621. The next prime is 350965480274677. The reversal of 350965480274640 is 46472084569053.

350965480274640 is a `hidden beast` number, since 3 + 5 + 0 + 9 + 6 + 548 + 0 + 2 + 7 + 46 + 40 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3304115451 + ... + 3304221669.

It is an arithmetic number, because the mean of its divisors is an integer number (1547820334944).

Almost surely, 2^{350965480274640} is an apocalyptic number.

350965480274640 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 350965480274640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742953760773120).

350965480274640 is an abundant number, since it is smaller than the sum of its proper divisors (1134942041271600).

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

350965480274640 is a wasteful number, since it uses less digits than its factorization.

350965480274640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106920 (or 106911 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 350965480274640 in words is "three hundred fifty trillion, nine hundred sixty-five billion, four hundred eighty million, two hundred seventy-four thousand, six hundred forty".