3643070464 has 192 divisors, whose sum is σ = 8491392000. Its totient is φ = 1546321920.

The previous prime is 3643070449. The next prime is 3643070491. The reversal of 3643070464 is 4640703463.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40933332 + ... + 40933420.

It is an arithmetic number, because the mean of its divisors is an integer number (44226000).

Almost surely, 2^3643070464 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 3643070464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245696000).

3643070464 is an abundant number, since it is smaller than the sum of its proper divisors (4848321536).

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

3643070464 is a wasteful number, since it uses less digits than its factorization.

3643070464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 37.

The square root of 3643070464 is about 60357.8533746852. The cubic root of 3643070464 is about 1538.7067435707.

The spelling of 3643070464 in words is "three billion, six hundred forty-three million, seventy thousand, four hundred sixty-four".