353634672 has 80 divisors (see below), whose sum is σ = 935297280. Its totient is φ = 115101696.

The previous prime is 353634649. The next prime is 353634689. The reversal of 353634672 is 276436353.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 353634672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 546253 + ... + 546899.

It is an arithmetic number, because the mean of its divisors is an integer number (11691216).

Almost surely, 2^353634672 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 353634672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467648640).

353634672 is an abundant number, since it is smaller than the sum of its proper divisors (581662608).

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

353634672 is a wasteful number, since it uses less digits than its factorization.

353634672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 904 counting only the distinct ones).

The product of its digits is 272160, while the sum is 39.

The square root of 353634672 is about 18805.1767340804. The cubic root of 353634672 is about 707.1609646390.

The spelling of 353634672 in words is "three hundred fifty-three million, six hundred thirty-four thousand, six hundred seventy-two".