3663649920 has 256 divisors, whose sum is σ = 14049561600. Its totient is φ = 793276416.

The previous prime is 3663649909. The next prime is 3663649931. The reversal of 3663649920 is 299463663.

3663649920 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 an interprime number because it is at equal distance from previous prime (3663649909) and next prime (3663649931).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3663649920.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248187 + ... + 262533.

It is an arithmetic number, because the mean of its divisors is an integer number (54881100).

Almost surely, 2^3663649920 is an apocalyptic number.

3663649920 is a gapful number since it is divisible by the number (30) 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 3663649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7024780800).

3663649920 is an abundant number, since it is smaller than the sum of its proper divisors (10385911680).

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

3663649920 is a wasteful number, since it uses less digits than its factorization.

3663649920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14395 (or 14383 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 48.

The square root of 3663649920 is about 60528.0919904138. The cubic root of 3663649920 is about 1541.5986547190.

The spelling of 3663649920 in words is "three billion, six hundred sixty-three million, six hundred forty-nine thousand, nine hundred twenty".