353375604 has 72 divisors (see below), whose sum is σ = 965750240. Its totient is φ = 108568512.

The previous prime is 353375587. The next prime is 353375609. The reversal of 353375604 is 406573353.

353375604 = T₄₃₅₂ + T₄₃₅₃ + ... + T₄₃₈₈.

353375604 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×353375604⁵ (a number of 44 digits) contains 55555 as substring.

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 (353375609) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 18327 + ... + 32289.

Almost surely, 2^353375604 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 353375604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482875120).

353375604 is an abundant number, since it is smaller than the sum of its proper divisors (612374636).

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

353375604 is a wasteful number, since it uses less digits than its factorization.

353375604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14029 (or 14024 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 36.

The square root of 353375604 is about 18798.2872624077. The cubic root of 353375604 is about 706.9882369186.

The spelling of 353375604 in words is "three hundred fifty-three million, three hundred seventy-five thousand, six hundred four".