3267997623 has 32 divisors (see below), whose sum is σ = 5294419200. Its totient is φ = 1975802400.

The previous prime is 3267997613. The next prime is 3267997627.

3267997623 is a `hidden beast` number, since 3 + 2 + 6 + 7 + 9 + 9 + 7 + 623 = 666.

3267997623 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3267997623 - 2⁸ = 3267997367 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3267997623.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3267997627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111313 + ... + 137573.

It is an arithmetic number, because the mean of its divisors is an integer number (165450600).

Almost surely, 2^3267997623 is an apocalyptic number.

3267997623 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3267997623 is a deficient number, since it is larger than the sum of its proper divisors (2026421577).

3267997623 is a wasteful number, since it uses less digits than its factorization.

3267997623 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26700 (or 26694 counting only the distinct ones).

The product of its digits is 5143824, while the sum is 54.

The square root of 3267997623 is about 57166.4029216462. The cubic root of 3267997623 is about 1483.9772531284.

The spelling of 3267997623 in words is "three billion, two hundred sixty-seven million, nine hundred ninety-seven thousand, six hundred twenty-three".