349599552 has 56 divisors (see below), whose sum is σ = 927945312. Its totient is φ = 116160000.

The previous prime is 349599529. The next prime is 349599557. The reversal of 349599552 is 255995943.

It is a junction number, because it is equal to n+sod(n) for n = 349599495 and 349599504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349599557) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60802 + ... + 66302.

It is an arithmetic number, because the mean of its divisors is an integer number (16570452).

Almost surely, 2^349599552 is an apocalyptic number.

349599552 is a gapful number since it is divisible by the number (32) 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 349599552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463972656).

349599552 is an abundant number, since it is smaller than the sum of its proper divisors (578345760).

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

349599552 is a wasteful number, since it uses less digits than its factorization.

349599552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5847 (or 5837 counting only the distinct ones).

The product of its digits is 2187000, while the sum is 51.

The square root of 349599552 is about 18697.5814478772. The cubic root of 349599552 is about 704.4610014305.

The spelling of 349599552 in words is "three hundred forty-nine million, five hundred ninety-nine thousand, five hundred fifty-two".