349290144 has 384 divisors, whose sum is σ = 1269596160. Its totient is φ = 92378880.

The previous prime is 349290133. The next prime is 349290157. The reversal of 349290144 is 441092943.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 349290099 and 349290108.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11267409 + ... + 11267439.

It is an arithmetic number, because the mean of its divisors is an integer number (3306240).

Almost surely, 2^349290144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349290144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634798080).

349290144 is an abundant number, since it is smaller than the sum of its proper divisors (920306016).

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

349290144 is an equidigital number, since it uses as much as digits as its factorization.

349290144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 349290144 is about 18689.3056050780. The cubic root of 349290144 is about 704.2531157677.

It can be divided in two parts, 3492 and 90144, that added together give a square (93636 = 306²).

The spelling of 349290144 in words is "three hundred forty-nine million, two hundred ninety thousand, one hundred forty-four".