344796480 has 224 divisors, whose sum is σ = 1390375680. Its totient is φ = 78796800.

The previous prime is 344796469. The next prime is 344796481. The reversal of 344796480 is 84697443.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×344796480² = 237769225240780800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344796481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57630 + ... + 63330.

Almost surely, 2^344796480 is an apocalyptic number.

344796480 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 344796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695187840).

344796480 is an abundant number, since it is smaller than the sum of its proper divisors (1045579200).

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

344796480 is a wasteful number, since it uses less digits than its factorization.

344796480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5734 (or 5718 counting only the distinct ones).

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

The square root of 344796480 is about 18568.6962385624. The cubic root of 344796480 is about 701.2199678293.

The spelling of 344796480 in words is "three hundred forty-four million, seven hundred ninety-six thousand, four hundred eighty".