3600461824 has 104 divisors (see below), whose sum is σ = 7890881760. Its totient is φ = 1634992128.

The previous prime is 3600461797. The next prime is 3600461873. The reversal of 3600461824 is 4281640063.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 3600461824.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2018437 + ... + 2020219.

Almost surely, 2^3600461824 is an apocalyptic number.

3600461824 is a gapful number since it is divisible by the number (34) 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 3600461824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3945440880).

3600461824 is an abundant number, since it is smaller than the sum of its proper divisors (4290419936).

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

3600461824 is a wasteful number, since it uses less digits than its factorization.

3600461824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 3600461824 is about 60003.8484099145. The cubic root of 3600461824 is about 1532.6843990380.

The spelling of 3600461824 in words is "three billion, six hundred million, four hundred sixty-one thousand, eight hundred twenty-four".