342761600 has 192 divisors, whose sum is σ = 901549440. Its totient is φ = 128593920.

The previous prime is 342761591. The next prime is 342761609. The reversal of 342761600 is 6167243.

It is an interprime number because it is at equal distance from previous prime (342761591) and next prime (342761609).

It is not an unprimeable number, because it can be changed into a prime (342761609) 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, 6467174 + ... + 6467226.

It is an arithmetic number, because the mean of its divisors is an integer number (4695570).

Almost surely, 2^342761600 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 342761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450774720).

342761600 is an abundant number, since it is smaller than the sum of its proper divisors (558787840).

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

342761600 is a wasteful number, since it uses less digits than its factorization.

342761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 342761600 is about 18513.8218636780. The cubic root of 342761600 is about 699.8377855414.

The spelling of 342761600 in words is "three hundred forty-two million, seven hundred sixty-one thousand, six hundred".