3664848000 has 384 divisors, whose sum is σ = 13374990720. Its totient is φ = 887040000.

The previous prime is 3664847971. The next prime is 3664848023. The reversal of 3664848000 is 8484663.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3664848000² = 26862221726208000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3664848000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5807685 + ... + 5808315.

It is an arithmetic number, because the mean of its divisors is an integer number (34830705).

Almost surely, 2^3664848000 is an apocalyptic number.

3664848000 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 3664848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6687495360).

3664848000 is an abundant number, since it is smaller than the sum of its proper divisors (9710142720).

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

3664848000 is a wasteful number, since it uses less digits than its factorization.

3664848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 652 counting only the distinct ones).

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

The square root of 3664848000 is about 60537.9880736055. The cubic root of 3664848000 is about 1541.7666799819.

It can be divided in two parts, 36648 and 48000, that added together give a palindrome (84648).

The spelling of 3664848000 in words is "three billion, six hundred sixty-four million, eight hundred forty-eight thousand".