349578240 has 176 divisors, whose sum is σ = 1220339520. Its totient is φ = 84705280.

The previous prime is 349578233. The next prime is 349578253. The reversal of 349578240 is 42875943.

It is a tau number, because it is divible by the number of its divisors (176).

It is a junction number, because it is equal to n+sod(n) for n = 349578192 and 349578201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167926 + ... + 169994.

Almost surely, 2^349578240 is an apocalyptic number.

349578240 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 349578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610169760).

349578240 is an abundant number, since it is smaller than the sum of its proper divisors (870761280).

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

349578240 is a wasteful number, since it uses less digits than its factorization.

349578240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 349578240 is about 18697.0115259097. The cubic root of 349578240 is about 704.4466862158.

The spelling of 349578240 in words is "three hundred forty-nine million, five hundred seventy-eight thousand, two hundred forty".