344749680 has 480 divisors, whose sum is σ = 1392768000. Its totient is φ = 75479040.

The previous prime is 344749679. The next prime is 344749693. The reversal of 344749680 is 86947443.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4363881 + ... + 4363959.

It is an arithmetic number, because the mean of its divisors is an integer number (2901600).

Almost surely, 2^344749680 is an apocalyptic number.

344749680 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 344749680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696384000).

344749680 is an abundant number, since it is smaller than the sum of its proper divisors (1048018320).

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

344749680 is a wasteful number, since it uses less digits than its factorization.

344749680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 344749680 is about 18567.4360103920. The cubic root of 344749680 is about 701.1882403405.

The spelling of 344749680 in words is "three hundred forty-four million, seven hundred forty-nine thousand, six hundred eighty".