350873640 has 256 divisors, whose sum is σ = 1281772800. Its totient is φ = 84851712.

The previous prime is 350873623. The next prime is 350873657. The reversal of 350873640 is 46378053.

It is a happy number.

350873640 is a `hidden beast` number, since 3 + 5 + 0 + 8 + 7 + 3 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (350873623) and next prime (350873657).

It is a super-2 number, since 2×350873640² = 246224622493699200, which contains 22 as substring.

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 = 350873595 and 350873604.

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 63 ways as a sum of consecutive naturals, for example, 940494 + ... + 940866.

It is an arithmetic number, because the mean of its divisors is an integer number (5006925).

Almost surely, 2^350873640 is an apocalyptic number.

350873640 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 350873640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640886400).

350873640 is an abundant number, since it is smaller than the sum of its proper divisors (930899160).

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

350873640 is a wasteful number, since it uses less digits than its factorization.

350873640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 350873640 is about 18731.6213927145. The cubic root of 350873640 is about 705.3157481077.

The spelling of 350873640 in words is "three hundred fifty million, eight hundred seventy-three thousand, six hundred forty".