349319040 has 384 divisors, whose sum is σ = 1339545600. Its totient is φ = 77156352.

The previous prime is 349319023. The next prime is 349319051. The reversal of 349319040 is 40913943.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 349318992 and 349319010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4421721 + ... + 4421799.

It is an arithmetic number, because the mean of its divisors is an integer number (3488400).

Almost surely, 2^349319040 is an apocalyptic number.

349319040 is a gapful number since it is divisible by the number (30) 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 349319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669772800).

349319040 is an abundant number, since it is smaller than the sum of its proper divisors (990226560).

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

349319040 is a wasteful number, since it uses less digits than its factorization.

349319040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 349319040 is about 18690.0786515199. The cubic root of 349319040 is about 704.2725356657.

The spelling of 349319040 in words is "three hundred forty-nine million, three hundred nineteen thousand, forty".