3668416000 has 240 divisors, whose sum is σ = 9667202688. Its totient is φ = 1387008000.

The previous prime is 3668415977. The next prime is 3668416039. The reversal of 3668416000 is 6148663.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85311979 + ... + 85312021.

Almost surely, 2^3668416000 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 3668416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4833601344).

3668416000 is an abundant number, since it is smaller than the sum of its proper divisors (5998786688).

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

3668416000 is an frugal number, since it uses more digits than its factorization.

3668416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 3668416000 is about 60567.4500041070. The cubic root of 3668416000 is about 1542.2668589126.

The spelling of 3668416000 in words is "three billion, six hundred sixty-eight million, four hundred sixteen thousand".