353028096 has 144 divisors (see below), whose sum is σ = 1034888400. Its totient is φ = 115924992.

The previous prime is 353028077. The next prime is 353028119. The reversal of 353028096 is 690820353.

353028096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 353028096.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1972135 + ... + 1972313.

It is an arithmetic number, because the mean of its divisors is an integer number (7186725).

Almost surely, 2^353028096 is an apocalyptic number.

353028096 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 353028096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517444200).

353028096 is an abundant number, since it is smaller than the sum of its proper divisors (681860304).

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

353028096 is a wasteful number, since it uses less digits than its factorization.

353028096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 353028096 is about 18789.0419127746. The cubic root of 353028096 is about 706.7564112121.

It can be divided in two parts, 3530 and 28096, that added together give a triangular number (31626 = T₂₅₁).

The spelling of 353028096 in words is "three hundred fifty-three million, twenty-eight thousand, ninety-six".