342513360 has 280 divisors, whose sum is σ = 1366162560. Its totient is φ = 78195456.

The previous prime is 342513337. The next prime is 342513371. The reversal of 342513360 is 63315243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 55 ways as a sum of consecutive naturals, for example, 407821 + ... + 408659.

It is an arithmetic number, because the mean of its divisors is an integer number (4879152).

Almost surely, 2^342513360 is an apocalyptic number.

342513360 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 342513360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683081280).

342513360 is an abundant number, since it is smaller than the sum of its proper divisors (1023649200).

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

342513360 is an equidigital number, since it uses as much as digits as its factorization.

342513360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 342513360 is about 18507.1164690775. The cubic root of 342513360 is about 699.6687956967.

The spelling of 342513360 in words is "three hundred forty-two million, five hundred thirteen thousand, three hundred sixty".