349100928 has 160 divisors (see below), whose sum is σ = 1133736120. Its totient is φ = 105753600.

The previous prime is 349100911. The next prime is 349100953. The reversal of 349100928 is 829001943.

It is a super-2 number, since 2×349100928² = 243742915860922368, which contains 22 as substring.

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 349100892 and 349100901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 112518 + ... + 115578.

Almost surely, 2^349100928 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 349100928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566868060).

349100928 is an abundant number, since it is smaller than the sum of its proper divisors (784635192).

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

349100928 is a wasteful number, since it uses less digits than its factorization.

349100928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3098 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 349100928 is about 18684.2427729892. The cubic root of 349100928 is about 704.1259244443.

The spelling of 349100928 in words is "three hundred forty-nine million, one hundred thousand, nine hundred twenty-eight".