3663667824 has 80 divisors (see below), whose sum is σ = 10210408992. Its totient is φ = 1127686144.

The previous prime is 3663667783. The next prime is 3663667829. The reversal of 3663667824 is 4287663663.

3663667824 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3663667824² = 26844923849225789952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3663667829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 892 + ... + 85604.

Almost surely, 2^3663667824 is an apocalyptic number.

3663667824 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 3663667824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5105204496).

3663667824 is an abundant number, since it is smaller than the sum of its proper divisors (6546741168).

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

3663667824 is a wasteful number, since it uses less digits than its factorization.

3663667824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84794 (or 84788 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 51.

The square root of 3663667824 is about 60528.2398885016. The cubic root of 3663667824 is about 1541.6011659430.

The spelling of 3663667824 in words is "three billion, six hundred sixty-three million, six hundred sixty-seven thousand, eight hundred twenty-four".