3691233664 has 192 divisors, whose sum is σ = 8506114560. Its totient is φ = 1588543488.

The previous prime is 3691233653. The next prime is 3691233671. The reversal of 3691233664 is 4663321963.

It is a self number, because there is not a number n which added to its sum of digits gives 3691233664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29064769 + ... + 29064895.

It is an arithmetic number, because the mean of its divisors is an integer number (44302680).

Almost surely, 2^3691233664 is an apocalyptic number.

3691233664 is a gapful number since it is divisible by the number (34) 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 3691233664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4253057280).

3691233664 is an abundant number, since it is smaller than the sum of its proper divisors (4814880896).

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

3691233664 is a wasteful number, since it uses less digits than its factorization.

3691233664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 202 counting only the distinct ones).

The product of its digits is 419904, while the sum is 43.

The square root of 3691233664 is about 60755.5237324147. The cubic root of 3691233664 is about 1545.4579015114.

The spelling of 3691233664 in words is "three billion, six hundred ninety-one million, two hundred thirty-three thousand, six hundred sixty-four".