3618627264 has 168 divisors, whose sum is σ = 12375215280. Its totient is φ = 1033869312.

The previous prime is 3618627247. The next prime is 3618627281. The reversal of 3618627264 is 4627268163.

3618627264 is a `hidden beast` number, since 3 + 6 + 18 + 627 + 2 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3618627247) and next prime (3618627281).

It is a tau number, because it is divible by the number of its divisors (168).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63304 + ... + 106040.

Almost surely, 2^3618627264 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 3618627264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6187607640).

3618627264 is an abundant number, since it is smaller than the sum of its proper divisors (8756588016).

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

3618627264 is a wasteful number, since it uses less digits than its factorization.

3618627264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42772 (or 42749 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 3618627264 is about 60155.0269221118. The cubic root of 3618627264 is about 1535.2576979664.

The spelling of 3618627264 in words is "three billion, six hundred eighteen million, six hundred twenty-seven thousand, two hundred sixty-four".