342241440 has 96 divisors (see below), whose sum is σ = 1083995136. Its totient is φ = 90762240.

The previous prime is 342241423. The next prime is 342241577. The reversal of 342241440 is 44142243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 342241440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89814 + ... + 93546.

It is an arithmetic number, because the mean of its divisors is an integer number (11291616).

Almost surely, 2^342241440 is an apocalyptic number.

342241440 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 342241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541997568).

342241440 is an abundant number, since it is smaller than the sum of its proper divisors (741753696).

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

342241440 is a wasteful number, since it uses less digits than its factorization.

342241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3942 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 342241440 is about 18499.7686472021. The cubic root of 342241440 is about 699.4835919152.

Adding to 342241440 its reverse (44142243), we get a palindrome (386383683).

The spelling of 342241440 in words is "three hundred forty-two million, two hundred forty-one thousand, four hundred forty".