349094016 has 128 divisors (see below), whose sum is σ = 1043582400. Its totient is φ = 114868224.

The previous prime is 349093999. The next prime is 349094021. The reversal of 349094016 is 610490943.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286240 + ... + 287456.

Almost surely, 2^349094016 is an apocalyptic number.

349094016 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 349094016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521791200).

349094016 is an abundant number, since it is smaller than the sum of its proper divisors (694488384).

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

349094016 is a wasteful number, since it uses less digits than its factorization.

349094016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 349094016 is about 18684.0578033788. The cubic root of 349094016 is about 704.1212773159.

The spelling of 349094016 in words is "three hundred forty-nine million, ninety-four thousand, sixteen".