350416640 has 216 divisors, whose sum is σ = 1009425312. Its totient is φ = 116121600.

The previous prime is 350416613. The next prime is 350416667. The reversal of 350416640 is 46614053.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (350416613) and next prime (350416667).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2320565 + ... + 2320715.

Almost surely, 2^350416640 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 350416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504712656).

350416640 is an abundant number, since it is smaller than the sum of its proper divisors (659008672).

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

350416640 is a wasteful number, since it uses less digits than its factorization.

350416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 350416640 is about 18719.4187943964. The cubic root of 350416640 is about 705.0093991336.

The spelling of 350416640 in words is "three hundred fifty million, four hundred sixteen thousand, six hundred forty".