3661968000 has 512 divisors, whose sum is σ = 13198049280. Its totient is φ = 895488000.

The previous prime is 3661967999. The next prime is 3661968001. The reversal of 3661968000 is 8691663.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3661967999) and next prime (3661968001).

It is a self number, because there is not a number n which added to its sum of digits gives 3661968000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3661968001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34223947 + ... + 34224053.

It is an arithmetic number, because the mean of its divisors is an integer number (25777440).

Almost surely, 2^3661968000 is an apocalyptic number.

3661968000 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 3661968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6599024640).

3661968000 is an abundant number, since it is smaller than the sum of its proper divisors (9536081280).

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

3661968000 is a wasteful number, since it uses less digits than its factorization.

3661968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 3661968000 is about 60514.1966814400. The cubic root of 3661968000 is about 1541.3627112797.

The spelling of 3661968000 in words is "three billion, six hundred sixty-one million, nine hundred sixty-eight thousand".