349055040 has 224 divisors, whose sum is σ = 1178625024. Its totient is φ = 87367680.

The previous prime is 349055027. The next prime is 349055051. The reversal of 349055040 is 40550943.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 349054989 and 349055007.

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, 1100962 + ... + 1101278.

Almost surely, 2^349055040 is an apocalyptic number.

349055040 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 349055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589312512).

349055040 is an abundant number, since it is smaller than the sum of its proper divisors (829569984).

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

349055040 is a wasteful number, since it uses less digits than its factorization.

349055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 349055040 is about 18683.0147460200. The cubic root of 349055040 is about 704.0950715269.

The spelling of 349055040 in words is "three hundred forty-nine million, fifty-five thousand, forty".