3600066456 has 144 divisors (see below), whose sum is σ = 11708274240. Its totient is φ = 995379840.

The previous prime is 3600066443. The next prime is 3600066493. The reversal of 3600066456 is 6546600063.

3600066456 is a `hidden beast` number, since 3 + 6 + 0 + 0 + 0 + 6 + 645 + 6 = 666.

3600066456 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3600066456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 92910 + ... + 125826.

It is an arithmetic number, because the mean of its divisors is an integer number (81307460).

Almost surely, 2^3600066456 is an apocalyptic number.

3600066456 is a gapful number since it is divisible by the number (36) 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 3600066456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5854137120).

3600066456 is an abundant number, since it is smaller than the sum of its proper divisors (8108207784).

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

3600066456 is a wasteful number, since it uses less digits than its factorization.

3600066456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32974 (or 32960 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3600066456 is about 60000.5537974442. The cubic root of 3600066456 is about 1532.6282954438.

The spelling of 3600066456 in words is "three billion, six hundred million, sixty-six thousand, four hundred fifty-six".