344876880 has 80 divisors (see below), whose sum is σ = 1071252864. Its totient is φ = 91783680.

The previous prime is 344876879. The next prime is 344876921. The reversal of 344876880 is 88678443.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 154170 + ... + 156390.

Almost surely, 2^344876880 is an apocalyptic number.

344876880 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 344876880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535626432).

344876880 is an abundant number, since it is smaller than the sum of its proper divisors (726375984).

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

344876880 is a wasteful number, since it uses less digits than its factorization.

344876880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2884 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The square root of 344876880 is about 18570.8610462735. The cubic root of 344876880 is about 701.2744673261.

The spelling of 344876880 in words is "three hundred forty-four million, eight hundred seventy-six thousand, eight hundred eighty".