350961408 has 216 divisors, whose sum is σ = 1183623168. Its totient is φ = 97929216.

The previous prime is 350961397. The next prime is 350961409. The reversal of 350961408 is 804169053.

350961408 is a `hidden beast` number, since 3 + 509 + 6 + 140 + 8 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350961409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 757785 + ... + 758247.

Almost surely, 2^350961408 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 350961408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591811584).

350961408 is an abundant number, since it is smaller than the sum of its proper divisors (832661760).

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

350961408 is a wasteful number, since it uses less digits than its factorization.

350961408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 350961408 is about 18733.9640225981. The cubic root of 350961408 is about 705.3745527452.

The spelling of 350961408 in words is "three hundred fifty million, nine hundred sixty-one thousand, four hundred eight".