3263749632 has 480 divisors, whose sum is σ = 11502120960. Its totient is φ = 905748480.

The previous prime is 3263749603. The next prime is 3263749633. The reversal of 3263749632 is 2369473623.

3263749632 is a `hidden beast` number, since 3 + 2 + 6 + 3 + 7 + 4 + 9 + 632 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3263749633) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 25698753 + ... + 25698879.

It is an arithmetic number, because the mean of its divisors is an integer number (23962752).

Almost surely, 2^3263749632 is an apocalyptic number.

3263749632 is a gapful number since it is divisible by the number (32) 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 3263749632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5751060480).

3263749632 is an abundant number, since it is smaller than the sum of its proper divisors (8238371328).

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

3263749632 is a wasteful number, since it uses less digits than its factorization.

3263749632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 156 counting only the distinct ones).

The product of its digits is 979776, while the sum is 45.

The square root of 3263749632 is about 57129.2362280470. The cubic root of 3263749632 is about 1483.3339789530. Note that the first 3 decimals are identical.

The spelling of 3263749632 in words is "three billion, two hundred sixty-three million, seven hundred forty-nine thousand, six hundred thirty-two".