349698240 has 336 divisors, whose sum is σ = 1283817600. Its totient is φ = 87220224.

The previous prime is 349698229. The next prime is 349698247. The reversal of 349698240 is 42896943.

349698240 is a `hidden beast` number, since 349 + 69 + 8 + 240 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (349698247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4426521 + ... + 4426599.

Almost surely, 2^349698240 is an apocalyptic number.

349698240 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 349698240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641908800).

349698240 is an abundant number, since it is smaller than the sum of its proper divisors (934119360).

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

349698240 is a wasteful number, since it uses less digits than its factorization.

349698240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 349698240 is about 18700.2203195577. The cubic root of 349698240 is about 704.5272823188.

The spelling of 349698240 in words is "three hundred forty-nine million, six hundred ninety-eight thousand, two hundred forty".