353370816 has 224 divisors, whose sum is σ = 1121664000. Its totient is φ = 108739584.

The previous prime is 353370799. The next prime is 353370833. The reversal of 353370816 is 618073353.

It is an interprime number because it is at equal distance from previous prime (353370799) and next prime (353370833).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1542990 + ... + 1543218.

Almost surely, 2^353370816 is an apocalyptic number.

353370816 is a gapful number since it is divisible by the number (36) 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 353370816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560832000).

353370816 is an abundant number, since it is smaller than the sum of its proper divisors (768293184).

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

353370816 is a wasteful number, since it uses less digits than its factorization.

353370816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 353370816 is about 18798.1599099486. The cubic root of 353370816 is about 706.9850438336.

The spelling of 353370816 in words is "three hundred fifty-three million, three hundred seventy thousand, eight hundred sixteen".