349598496 has 192 divisors, whose sum is σ = 1039264128. Its totient is φ = 102187008.

The previous prime is 349598477. The next prime is 349598507. The reversal of 349598496 is 694895943.

It is a happy number.

Its product of digits (8398080) is a multiple of the sum of its prime factors (243).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3093736 + ... + 3093848.

It is an arithmetic number, because the mean of its divisors is an integer number (5412834).

Almost surely, 2^349598496 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 349598496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519632064).

349598496 is an abundant number, since it is smaller than the sum of its proper divisors (689665632).

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

349598496 is a wasteful number, since it uses less digits than its factorization.

349598496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 235 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 57.

The square root of 349598496 is about 18697.5532089094. The cubic root of 349598496 is about 704.4602921317.

The spelling of 349598496 in words is "three hundred forty-nine million, five hundred ninety-eight thousand, four hundred ninety-six".