3641301664 has 384 divisors, whose sum is σ = 10512875520. Its totient is φ = 1194393600.

The previous prime is 3641301623. The next prime is 3641301679. The reversal of 3641301664 is 4661031463.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18866752 + ... + 18866944.

It is an arithmetic number, because the mean of its divisors is an integer number (27377280).

Almost surely, 2^3641301664 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 3641301664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5256437760).

3641301664 is an abundant number, since it is smaller than the sum of its proper divisors (6871573856).

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

3641301664 is a wasteful number, since it uses less digits than its factorization.

3641301664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 3641301664 is about 60343.1989871270. The cubic root of 3641301664 is about 1538.4576766447.

The spelling of 3641301664 in words is "three billion, six hundred forty-one million, three hundred one thousand, six hundred sixty-four".