3813245632 has 56 divisors (see below), whose sum is σ = 8670523680. Its totient is φ = 1629972480.

The previous prime is 3813245629. The next prime is 3813245659. The reversal of 3813245632 is 2365423183.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 3813245591 and 3813245600.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163332 + ... + 185212.

It is an arithmetic number, because the mean of its divisors is an integer number (154830780).

Almost surely, 2^3813245632 is an apocalyptic number.

3813245632 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 3813245632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4335261840).

3813245632 is an abundant number, since it is smaller than the sum of its proper divisors (4857278048).

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

3813245632 is a wasteful number, since it uses less digits than its factorization.

3813245632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22289 (or 22279 counting only the distinct ones).

The product of its digits is 103680, while the sum is 37.

The square root of 3813245632 is about 61751.4828323984. The cubic root of 3813245632 is about 1562.3017784767.

The spelling of 3813245632 in words is "three billion, eight hundred thirteen million, two hundred forty-five thousand, six hundred thirty-two".