349329240 has 256 divisors, whose sum is σ = 1270080000. Its totient is φ = 84893184.

The previous prime is 349329199. The next prime is 349329241. The reversal of 349329240 is 42923943.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 349329195 and 349329204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349329241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1951471 + ... + 1951649.

It is an arithmetic number, because the mean of its divisors is an integer number (4961250).

Almost surely, 2^349329240 is an apocalyptic number.

349329240 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 349329240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635040000).

349329240 is an abundant number, since it is smaller than the sum of its proper divisors (920750760).

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

349329240 is a wasteful number, since it uses less digits than its factorization.

349329240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 349329240 is about 18690.3515215739. The cubic root of 349329240 is about 704.2793904404.

The spelling of 349329240 in words is "three hundred forty-nine million, three hundred twenty-nine thousand, two hundred forty".