3808314624 has 72 divisors (see below), whose sum is σ = 10213312032. Its totient is φ = 1259714560.

The previous prime is 3808314623. The next prime is 3808314661. The reversal of 3808314624 is 4264138083.

It is a happy number.

It is a super-2 number, since 2×3808314624² = 29006520550744522752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3808314623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81682 + ... + 119534.

It is an arithmetic number, because the mean of its divisors is an integer number (141851556).

Almost surely, 2^3808314624 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 3808314624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5106656016).

3808314624 is an abundant number, since it is smaller than the sum of its proper divisors (6404997408).

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

3808314624 is a wasteful number, since it uses less digits than its factorization.

3808314624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38003 (or 37989 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 3808314624 is about 61711.5436851162. The cubic root of 3808314624 is about 1561.6280701866.

The spelling of 3808314624 in words is "three billion, eight hundred eight million, three hundred fourteen thousand, six hundred twenty-four".