345981636 has 144 divisors (see below), whose sum is σ = 1174363008. Its totient is φ = 82944000.

The previous prime is 345981631. The next prime is 345981653. The reversal of 345981636 is 636189543.

345981636 is a `hidden beast` number, since 3 + 4 + 5 + 9 + 8 + 1 + 636 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 345981591 and 345981600.

It is not an unprimeable number, because it can be changed into a prime (345981631) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 31236 + ... + 40836.

Almost surely, 2^345981636 is an apocalyptic number.

345981636 is a gapful number since it is divisible by the number (36) 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 345981636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587181504).

345981636 is an abundant number, since it is smaller than the sum of its proper divisors (828381372).

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

345981636 is a wasteful number, since it uses less digits than its factorization.

345981636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9642 (or 9637 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 345981636 is about 18600.5816038101. The cubic root of 345981636 is about 702.0224747474.

The spelling of 345981636 in words is "three hundred forty-five million, nine hundred eighty-one thousand, six hundred thirty-six".