342140400 has 180 divisors, whose sum is σ = 1357039632. Its totient is φ = 78197760.

The previous prime is 342140377. The next prime is 342140417. The reversal of 342140400 is 4041243.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 18412 + ... + 31988.

Almost surely, 2^342140400 is an apocalyptic number.

342140400 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 342140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678519816).

342140400 is an abundant number, since it is smaller than the sum of its proper divisors (1014899232).

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

342140400 is a wasteful number, since it uses less digits than its factorization.

342140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13608 (or 13594 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 342140400 is about 18497.0376006538. The cubic root of 342140400 is about 699.4147489190.

Adding to 342140400 its reverse (4041243), we get a palindrome (346181643).

The spelling of 342140400 in words is "three hundred forty-two million, one hundred forty thousand, four hundred".