350990640 has 480 divisors, whose sum is σ = 1585898496. Its totient is φ = 67184640.

The previous prime is 350990593. The next prime is 350990641. The reversal of 350990640 is 46099053.

350990640 is a `hidden beast` number, since 3 + 5 + 0 + 9 + 9 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 350990595 and 350990604.

It is not an unprimeable number, because it can be changed into a prime (350990641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 720477 + ... + 720963.

Almost surely, 2^350990640 is an apocalyptic number.

350990640 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 350990640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792949248).

350990640 is an abundant number, since it is smaller than the sum of its proper divisors (1234907856).

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

350990640 is a wasteful number, since it uses less digits than its factorization.

350990640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 350990640 is about 18734.7441936099. The cubic root of 350990640 is about 705.3941360347.

It can be divided in two parts, 3509 and 90640, that added together give a palindrome (94149).

The spelling of 350990640 in words is "three hundred fifty million, nine hundred ninety thousand, six hundred forty".