350079840 has 384 divisors, whose sum is σ = 1371686400. Its totient is φ = 82667520.

The previous prime is 350079797. The next prime is 350079841. The reversal of 350079840 is 48970053.

350079840 is a `hidden beast` number, since 3 + 500 + 79 + 84 + 0 = 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 = 350079795 and 350079804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350079841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2518491 + ... + 2518629.

It is an arithmetic number, because the mean of its divisors is an integer number (3572100).

Almost surely, 2^350079840 is an apocalyptic number.

350079840 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 350079840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685843200).

350079840 is an abundant number, since it is smaller than the sum of its proper divisors (1021606560).

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

350079840 is a wasteful number, since it uses less digits than its factorization.

350079840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 350079840 is about 18710.4206259507. The cubic root of 350079840 is about 704.7834554496.

The spelling of 350079840 in words is "three hundred fifty million, seventy-nine thousand, eight hundred forty".