349489140 has 432 divisors, whose sum is σ = 1383897984. Its totient is φ = 64120320.

The previous prime is 349489139. The next prime is 349489159. The reversal of 349489140 is 41984943.

349489140 = 171² + 172² + ... + 1017².

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 349489092 and 349489101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15195169 + ... + 15195191.

Almost surely, 2^349489140 is an apocalyptic number.

349489140 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 349489140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691948992).

349489140 is an abundant number, since it is smaller than the sum of its proper divisors (1034408844).

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

349489140 is a wasteful number, since it uses less digits than its factorization.

349489140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 349489140 is about 18694.6286403341. The cubic root of 349489140 is about 704.3868316769.

The spelling of 349489140 in words is "three hundred forty-nine million, four hundred eighty-nine thousand, one hundred forty".