350792640 has 224 divisors, whose sum is σ = 1350385920. Its totient is φ = 85017600.

The previous prime is 350792593. The next prime is 350792641. The reversal of 350792640 is 46297053.

350792640 is a `hidden beast` number, since 3 + 5 + 0 + 7 + 9 + 2 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 350792595 and 350792604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350792641) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 93195 + ... + 96885.

Almost surely, 2^350792640 is an apocalyptic number.

350792640 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 350792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675192960).

350792640 is an abundant number, since it is smaller than the sum of its proper divisors (999593280).

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

350792640 is a wasteful number, since it uses less digits than its factorization.

350792640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728 (or 3712 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 350792640 is about 18729.4591486247. The cubic root of 350792640 is about 705.2614693343.

The spelling of 350792640 in words is "three hundred fifty million, seven hundred ninety-two thousand, six hundred forty".