336811221630 has 384 divisors, whose sum is σ = 1023572204928. Its totient is φ = 79130068992.

The previous prime is 336811221613. The next prime is 336811221647. The reversal of 336811221630 is 36122118633.

336811221630 is a `hidden beast` number, since 3 + 3 + 6 + 8 + 1 + 12 + 2 + 1 + 630 = 666.

It is an interprime number because it is at equal distance from previous prime (336811221613) and next prime (336811221647).

It is a super-2 number, since 2×336811221630² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 61945272 + ... + 61950708.

It is an arithmetic number, because the mean of its divisors is an integer number (2665552617).

Almost surely, 2^336811221630 is an apocalyptic number.

336811221630 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 336811221630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511786102464).

336811221630 is an abundant number, since it is smaller than the sum of its proper divisors (686760983298).

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

336811221630 is a wasteful number, since it uses less digits than its factorization.

336811221630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5562 (or 5550 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 336811221630 in words is "three hundred thirty-six billion, eight hundred eleven million, two hundred twenty-one thousand, six hundred thirty".