349947840 has 224 divisors, whose sum is σ = 1252362240. Its totient is φ = 82022400.

The previous prime is 349947823. The next prime is 349947893. The reversal of 349947840 is 48749943.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 349947840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326826 + ... + 327894.

Almost surely, 2^349947840 is an apocalyptic number.

349947840 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 349947840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626181120).

349947840 is an abundant number, since it is smaller than the sum of its proper divisors (902414400).

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

349947840 is a wasteful number, since it uses less digits than its factorization.

349947840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 349947840 is about 18706.8928472903. The cubic root of 349947840 is about 704.6948631719.

The spelling of 349947840 in words is "three hundred forty-nine million, nine hundred forty-seven thousand, eight hundred forty".