349615644 has 144 divisors (see below), whose sum is σ = 992936448. Its totient is φ = 93744000.

The previous prime is 349615621. The next prime is 349615667. The reversal of 349615644 is 446516943.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (349615621) and next prime (349615667).

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 = 349615596 and 349615605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4924129 + ... + 4924199.

It is an arithmetic number, because the mean of its divisors is an integer number (6895392).

Almost surely, 2^349615644 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 349615644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496468224).

349615644 is an abundant number, since it is smaller than the sum of its proper divisors (643320804).

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

349615644 is a wasteful number, since it uses less digits than its factorization.

349615644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 175 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 349615644 is about 18698.0117659606. The cubic root of 349615644 is about 704.4718099993.

The spelling of 349615644 in words is "three hundred forty-nine million, six hundred fifteen thousand, six hundred forty-four".