342869040 has 120 divisors (see below), whose sum is σ = 1157738400. Its totient is φ = 90934272.

The previous prime is 342868993. The next prime is 342869069. The reversal of 342869040 is 40968243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 342868986 and 342869004.

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 23 ways as a sum of consecutive naturals, for example, 142084 + ... + 144476.

It is an arithmetic number, because the mean of its divisors is an integer number (9647820).

Almost surely, 2^342869040 is an apocalyptic number.

342869040 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 342869040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578869200).

342869040 is an abundant number, since it is smaller than the sum of its proper divisors (814869360).

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

342869040 is a wasteful number, since it uses less digits than its factorization.

342869040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 342869040 is about 18516.7232522388. The cubic root of 342869040 is about 699.9109002240.

The spelling of 342869040 in words is "three hundred forty-two million, eight hundred sixty-nine thousand, forty".