350807040 has 264 divisors, whose sum is σ = 1272218688. Its totient is φ = 89210880.

The previous prime is 350807011. The next prime is 350807057. The reversal of 350807040 is 40708053.

It is a junction number, because it is equal to n+sod(n) for n = 350806995 and 350807013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1059675 + ... + 1060005.

Almost surely, 2^350807040 is an apocalyptic number.

350807040 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 350807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636109344).

350807040 is an abundant number, since it is smaller than the sum of its proper divisors (921411648).

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

350807040 is a wasteful number, since it uses less digits than its factorization.

350807040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 350807040 is about 18729.8435658176. The cubic root of 350807040 is about 705.2711195046.

The spelling of 350807040 in words is "three hundred fifty million, eight hundred seven thousand, forty".