342636000 has 192 divisors, whose sum is σ = 1283143680. Its totient is φ = 78297600.

The previous prime is 342635977. The next prime is 342636023. The reversal of 342636000 is 636243.

It is an interprime number because it is at equal distance from previous prime (342635977) and next prime (342636023).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 81961 + ... + 86039.

It is an arithmetic number, because the mean of its divisors is an integer number (6683040).

Almost surely, 2^342636000 is an apocalyptic number.

342636000 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 342636000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641571840).

342636000 is an abundant number, since it is smaller than the sum of its proper divisors (940507680).

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

342636000 is a wasteful number, since it uses less digits than its factorization.

342636000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4114 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 342636000 is about 18510.4294925861. The cubic root of 342636000 is about 699.7522933076.

The spelling of 342636000 in words is "three hundred forty-two million, six hundred thirty-six thousand".