350880574464 has 880 divisors, whose sum is σ = 1335369784320. Its totient is φ = 89340641280.

The previous prime is 350880574409. The next prime is 350880574469. The reversal of 350880574464 is 464475088053.

It is a happy number.

350880574464 is a `hidden beast` number, since 3 + 5 + 0 + 8 + 8 + 0 + 574 + 4 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 350880574464.

It is not an unprimeable number, because it can be changed into a prime (350880574469) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 187535449 + ... + 187537319.

It is an arithmetic number, because the mean of its divisors is an integer number (1517465664).

Almost surely, 2^350880574464 is an apocalyptic number.

350880574464 is a gapful number since it is divisible by the number (34) 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 350880574464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667684892160).

350880574464 is an abundant number, since it is smaller than the sum of its proper divisors (984489209856).

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

350880574464 is a wasteful number, since it uses less digits than its factorization.

350880574464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 350880574464 in words is "three hundred fifty billion, eight hundred eighty million, five hundred seventy-four thousand, four hundred sixty-four".