3634076160 has 480 divisors, whose sum is σ = 14799552768. Its totient is φ = 812482560.

The previous prime is 3634076099. The next prime is 3634076161. The reversal of 3634076160 is 616704363.

It is a happy number.

3634076160 is a `hidden beast` number, since 3 + 6 + 34 + 0 + 7 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3634076161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3294169 + ... + 3295271.

Almost surely, 2^3634076160 is an apocalyptic number.

3634076160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3634076160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7399776384).

3634076160 is an abundant number, since it is smaller than the sum of its proper divisors (11165476608).

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

3634076160 is a wasteful number, since it uses less digits than its factorization.

3634076160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3634076160 is about 60283.2991797894. The cubic root of 3634076160 is about 1537.4394059007.

The spelling of 3634076160 in words is "three billion, six hundred thirty-four million, seventy-six thousand, one hundred sixty".