3629260768 has 96 divisors (see below), whose sum is σ = 8472619008. Its totient is φ = 1497484800.

The previous prime is 3629260741. The next prime is 3629260771. The reversal of 3629260768 is 8670629263.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1463946 + ... + 1466422.

It is an arithmetic number, because the mean of its divisors is an integer number (88256448).

Almost surely, 2^3629260768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3629260768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4236309504).

3629260768 is an abundant number, since it is smaller than the sum of its proper divisors (4843358240).

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

3629260768 is a wasteful number, since it uses less digits than its factorization.

3629260768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 49.

The square root of 3629260768 is about 60243.3462550015. The cubic root of 3629260768 is about 1536.7600360062.

The spelling of 3629260768 in words is "three billion, six hundred twenty-nine million, two hundred sixty thousand, seven hundred sixty-eight".