342509472 has 144 divisors (see below), whose sum is σ = 1069915392. Its totient is φ = 107412480.

The previous prime is 342509471. The next prime is 342509509. The reversal of 342509472 is 274905243.

342509472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (342509471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130897 + ... + 133487.

It is an arithmetic number, because the mean of its divisors is an integer number (7429968).

Almost surely, 2^342509472 is an apocalyptic number.

342509472 is a gapful number since it is divisible by the number (32) 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 342509472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534957696).

342509472 is an abundant number, since it is smaller than the sum of its proper divisors (727405920).

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

342509472 is a wasteful number, since it uses less digits than its factorization.

342509472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2633 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 342509472 is about 18507.0114281048. The cubic root of 342509472 is about 699.6661482841. Note that the first 3 decimals are identical.

The spelling of 342509472 in words is "three hundred forty-two million, five hundred nine thousand, four hundred seventy-two".