3634704864 has 288 divisors, whose sum is σ = 12839823360. Its totient is φ = 951782400.

The previous prime is 3634704863. The next prime is 3634704929. The reversal of 3634704864 is 4684074363.

3634704864 is a `hidden beast` number, since 3 + 634 + 7 + 0 + 4 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3634704864² = 26422158896770516992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3634704863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1185894 + ... + 1188954.

It is an arithmetic number, because the mean of its divisors is an integer number (44582720).

Almost surely, 2^3634704864 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 3634704864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6419911680).

3634704864 is an abundant number, since it is smaller than the sum of its proper divisors (9205118496).

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

3634704864 is a wasteful number, since it uses less digits than its factorization.

3634704864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3134 (or 3123 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The square root of 3634704864 is about 60288.5135328447. The cubic root of 3634704864 is about 1537.5280610385.

The spelling of 3634704864 in words is "three billion, six hundred thirty-four million, seven hundred four thousand, eight hundred sixty-four".