353668744 has 64 divisors (see below), whose sum is σ = 784002240. Its totient is φ = 147452160.

The previous prime is 353668709. The next prime is 353668753. The reversal of 353668744 is 447866353.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 353668694 and 353668703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197019 + ... + 198805.

It is an arithmetic number, because the mean of its divisors is an integer number (12250035).

Almost surely, 2^353668744 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 353668744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392001120).

353668744 is an abundant number, since it is smaller than the sum of its proper divisors (430333496).

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

353668744 is a wasteful number, since it uses less digits than its factorization.

353668744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1986 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 46.

The square root of 353668744 is about 18806.0826330206. The cubic root of 353668744 is about 707.1836750956.

The spelling of 353668744 in words is "three hundred fifty-three million, six hundred sixty-eight thousand, seven hundred forty-four".