3627134784 has 252 divisors, whose sum is σ = 12868448736. Its totient is φ = 956427264.

The previous prime is 3627134783. The next prime is 3627134809. The reversal of 3627134784 is 4874317263.

3627134784 is a `hidden beast` number, since 3 + 627 + 13 + 4 + 7 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×3627134784² = 26312213482605453312, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3627134783) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 678747 + ... + 684069.

Almost surely, 2^3627134784 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 3627134784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6434224368).

3627134784 is an abundant number, since it is smaller than the sum of its proper divisors (9241313952).

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

3627134784 is a wasteful number, since it uses less digits than its factorization.

3627134784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5374 (or 5348 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 3627134784 is about 60225.6987008038. The cubic root of 3627134784 is about 1536.4599046007.

The spelling of 3627134784 in words is "three billion, six hundred twenty-seven million, one hundred thirty-four thousand, seven hundred eighty-four".