350574841344 has 640 divisors, whose sum is σ = 1203762954240. Its totient is φ = 88194023424.

The previous prime is 350574841289. The next prime is 350574841363. The reversal of 350574841344 is 443148475053.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 350574841293 and 350574841302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 274100097 + ... + 274101375.

It is an arithmetic number, because the mean of its divisors is an integer number (1880879616).

Almost surely, 2^350574841344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350574841344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601881477120).

350574841344 is an abundant number, since it is smaller than the sum of its proper divisors (853188112896).

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

350574841344 is a wasteful number, since it uses less digits than its factorization.

350574841344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 48.

The spelling of 350574841344 in words is "three hundred fifty billion, five hundred seventy-four million, eight hundred forty-one thousand, three hundred forty-four".