344455540 has 72 divisors (see below), whose sum is σ = 856333800. Its totient is φ = 115610880.

The previous prime is 344455523. The next prime is 344455609. The reversal of 344455540 is 45554443.

344455540 = T₃₂₂₃ + T₃₂₂₄ + ... + T₃₂₈₇.

It can be written as a sum of positive squares in 4 ways, for example, as 7806436 + 336649104 = 2794^2 + 18348^2 .

It is a junction number, because it is equal to n+sod(n) for n = 344455496 and 344455505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25986 + ... + 36934.

It is an arithmetic number, because the mean of its divisors is an integer number (11893525).

Almost surely, 2^344455540 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 344455540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428166900).

344455540 is an abundant number, since it is smaller than the sum of its proper divisors (511878260).

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

344455540 is a wasteful number, since it uses less digits than its factorization.

344455540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10993 (or 10980 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 34.

The square root of 344455540 is about 18559.5134634505. The cubic root of 344455540 is about 700.9887659533.

The spelling of 344455540 in words is "three hundred forty-four million, four hundred fifty-five thousand, five hundred forty".