3645185340 has 96 divisors (see below), whose sum is σ = 10800599040. Its totient is φ = 916012800.

The previous prime is 3645185333. The next prime is 3645185417. The reversal of 3645185340 is 435815463.

3645185340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209370 + ... + 226110.

It is an arithmetic number, because the mean of its divisors is an integer number (112506240).

Almost surely, 2^3645185340 is an apocalyptic number.

3645185340 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 3645185340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5400299520).

3645185340 is an abundant number, since it is smaller than the sum of its proper divisors (7155413700).

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

3645185340 is a wasteful number, since it uses less digits than its factorization.

3645185340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16963 (or 16961 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 3645185340 is about 60375.3703094234. The cubic root of 3645185340 is about 1539.0044360889.

The spelling of 3645185340 in words is "three billion, six hundred forty-five million, one hundred eighty-five thousand, three hundred forty".