349807536 has 120 divisors (see below), whose sum is σ = 1070400240. Its totient is φ = 105988608.

The previous prime is 349807481. The next prime is 349807543. The reversal of 349807536 is 635708943.

349807536 is a `hidden beast` number, since 34 + 9 + 80 + 7 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 349807491 and 349807500.

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, 124030 + ... + 126818.

It is an arithmetic number, because the mean of its divisors is an integer number (8920002).

Almost surely, 2^349807536 is an apocalyptic number.

349807536 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 349807536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535200120).

349807536 is an abundant number, since it is smaller than the sum of its proper divisors (720592704).

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

349807536 is a wasteful number, since it uses less digits than its factorization.

349807536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2883 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 349807536 is about 18703.1424097663. The cubic root of 349807536 is about 704.6006732068.

The spelling of 349807536 in words is "three hundred forty-nine million, eight hundred seven thousand, five hundred thirty-six".