342460638630 has 192 divisors, whose sum is σ = 989136173376. Its totient is φ = 81505152000.

The previous prime is 342460638601. The next prime is 342460638659. The reversal of 342460638630 is 36836064243.

342460638630 is a `hidden beast` number, since 3 + 4 + 2 + 4 + 6 + 0 + 6 + 3 + 8 + 630 = 666.

It is an interprime number because it is at equal distance from previous prime (342460638601) and next prime (342460638659).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33632140 + ... + 33642320.

It is an arithmetic number, because the mean of its divisors is an integer number (5151750903).

Almost surely, 2^342460638630 is an apocalyptic number.

342460638630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 342460638630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494568086688).

342460638630 is an abundant number, since it is smaller than the sum of its proper divisors (646675534746).

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

342460638630 is a wasteful number, since it uses less digits than its factorization.

342460638630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10823 (or 10820 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 342460638630 in words is "three hundred forty-two billion, four hundred sixty million, six hundred thirty-eight thousand, six hundred thirty".