3965598000 has 800 divisors, whose sum is σ = 17695117440. Its totient is φ = 833587200.

The previous prime is 3965597989. The next prime is 3965598019. The reversal of 3965598000 is 8955693.

3965598000 is a `hidden beast` number, since 3 + 96 + 559 + 8 + 0 + 0 + 0 = 666.

3965598000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14741866 + ... + 14742134.

Almost surely, 2^3965598000 is an apocalyptic number.

3965598000 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 3965598000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8847558720).

3965598000 is an abundant number, since it is smaller than the sum of its proper divisors (13729519440).

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

3965598000 is a wasteful number, since it uses less digits than its factorization.

3965598000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 3965598000 is about 62972.9942118048. The cubic root of 3965598000 is about 1582.8371285968.

The spelling of 3965598000 in words is "three billion, nine hundred sixty-five million, five hundred ninety-eight thousand".