342849200 has 120 divisors (see below), whose sum is σ = 881229312. Its totient is φ = 127733760.

The previous prime is 342849197. The next prime is 342849203. The reversal of 342849200 is 2948243.

342849200 = T₄₃₉ + T₄₄₀ + ... + T₁₂₈₈.

It is an interprime number because it is at equal distance from previous prime (342849197) and next prime (342849203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342849203) 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, 863402 + ... + 863798.

Almost surely, 2^342849200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342849200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440614656).

342849200 is an abundant number, since it is smaller than the sum of its proper divisors (538380112).

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

342849200 is a wasteful number, since it uses less digits than its factorization.

342849200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 342849200 is about 18516.1875125524. The cubic root of 342849200 is about 699.8973999285.

The spelling of 342849200 in words is "three hundred forty-two million, eight hundred forty-nine thousand, two hundred".