3673764864 has 528 divisors, whose sum is σ = 13733830656. Its totient is φ = 917913600.

The previous prime is 3673764851. The next prime is 3673764877. The reversal of 3673764864 is 4684673763.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3673764851) and next prime (3673764877).

It is a tau number, because it is divible by the number of its divisors (528).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3673764864.

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, 21998509 + ... + 21998675.

Almost surely, 2^3673764864 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 3673764864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6866915328).

3673764864 is an abundant number, since it is smaller than the sum of its proper divisors (10060065792).

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

3673764864 is a wasteful number, since it uses less digits than its factorization.

3673764864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 221 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 54.

The square root of 3673764864 is about 60611.5901787769. The cubic root of 3673764864 is about 1543.0160805106.

The spelling of 3673764864 in words is "three billion, six hundred seventy-three million, seven hundred sixty-four thousand, eight hundred sixty-four".