342879840 has 144 divisors (see below), whose sum is σ = 1207979136. Its totient is φ = 88473600.

The previous prime is 342879821. The next prime is 342879863. The reversal of 342879840 is 48978243.

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 (45).

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, 40800 + ... + 48480.

It is an arithmetic number, because the mean of its divisors is an integer number (8388744).

Almost surely, 2^342879840 is an apocalyptic number.

342879840 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 342879840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603989568).

342879840 is an abundant number, since it is smaller than the sum of its proper divisors (865099296).

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

342879840 is a wasteful number, since it uses less digits than its factorization.

342879840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7733 (or 7722 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 342879840 is about 18517.0148782140. The cubic root of 342879840 is about 699.9182489563.

The spelling of 342879840 in words is "three hundred forty-two million, eight hundred seventy-nine thousand, eight hundred forty".