350643672 has 96 divisors (see below), whose sum is σ = 998334480. Its totient is φ = 111041280.

The previous prime is 350643659. The next prime is 350643679. The reversal of 350643672 is 276346053.

350643672 is a `hidden beast` number, since 3 + 5 + 0 + 643 + 6 + 7 + 2 = 666.

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 (350643679) 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, 113022 + ... + 116082.

Almost surely, 2^350643672 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 350643672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499167240).

350643672 is an abundant number, since it is smaller than the sum of its proper divisors (647690808).

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

350643672 is a wasteful number, since it uses less digits than its factorization.

350643672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3153 (or 3146 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 350643672 is about 18725.4818896604. The cubic root of 350643672 is about 705.1616228210.

The spelling of 350643672 in words is "three hundred fifty million, six hundred forty-three thousand, six hundred seventy-two".