349499200320 has 168 divisors, whose sum is σ = 1202405376744. Its totient is φ = 93178564608.

The previous prime is 349499200319. The next prime is 349499200331. The reversal of 349499200320 is 23002994943.

It is a happy number.

349499200320 is a `hidden beast` number, since 34 + 9 + 4 + 99 + 200 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 213621444864 + 135877755456 = 462192^2 + 368616^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15762682 + ... + 15784838.

Almost surely, 2^349499200320 is an apocalyptic number.

349499200320 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 349499200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601202688372).

349499200320 is an abundant number, since it is smaller than the sum of its proper divisors (852906176424).

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

349499200320 is a wasteful number, since it uses less digits than its factorization.

349499200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27657 (or 27644 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 349499200320 in words is "three hundred forty-nine billion, four hundred ninety-nine million, two hundred thousand, three hundred twenty".