3643493364 has 144 divisors (see below), whose sum is σ = 11015746560. Its totient is φ = 993461760.

The previous prime is 3643493327. The next prime is 3643493377. The reversal of 3643493364 is 4633943463.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 567082 + ... + 573470.

It is an arithmetic number, because the mean of its divisors is an integer number (76498240).

Almost surely, 2^3643493364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3643493364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5507873280).

3643493364 is an abundant number, since it is smaller than the sum of its proper divisors (7372253196).

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

3643493364 is a wasteful number, since it uses less digits than its factorization.

3643493364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6510 (or 6505 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 45.

The square root of 3643493364 is about 60361.3565453925. The cubic root of 3643493364 is about 1538.7662807029.

The spelling of 3643493364 in words is "three billion, six hundred forty-three million, four hundred ninety-three thousand, three hundred sixty-four".