3982413600 has 720 divisors, whose sum is σ = 16379326656. Its totient is φ = 933120000.

The previous prime is 3982413583. The next prime is 3982413601. The reversal of 3982413600 is 63142893.

3982413600 is a `hidden beast` number, since 3 + 9 + 8 + 2 + 41 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3982413601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26373525 + ... + 26373675.

Almost surely, 2^3982413600 is an apocalyptic number.

3982413600 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 3982413600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8189663328).

3982413600 is an abundant number, since it is smaller than the sum of its proper divisors (12396913056).

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

3982413600 is a wasteful number, since it uses less digits than its factorization.

3982413600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3982413600 is about 63106.3673491035. The cubic root of 3982413600 is about 1585.0712450602.

The spelling of 3982413600 in words is "three billion, nine hundred eighty-two million, four hundred thirteen thousand, six hundred".