349083672 has 128 divisors (see below), whose sum is σ = 1041292800. Its totient is φ = 95413248.

The previous prime is 349083671. The next prime is 349083703. The reversal of 349083672 is 276380943.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349083671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 667203 + ... + 667725.

It is an arithmetic number, because the mean of its divisors is an integer number (8135100).

Almost surely, 2^349083672 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 349083672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520646400).

349083672 is an abundant number, since it is smaller than the sum of its proper divisors (692209128).

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

349083672 is a wasteful number, since it uses less digits than its factorization.

349083672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 349083672 is about 18683.7809877979. The cubic root of 349083672 is about 704.1143226445.

The spelling of 349083672 in words is "three hundred forty-nine million, eighty-three thousand, six hundred seventy-two".