3067136064 has 112 divisors (see below), whose sum is σ = 9064995840. Its totient is φ = 1016916480.

The previous prime is 3067136057. The next prime is 3067136069. The reversal of 3067136064 is 4606317603.

It is a happy number.

3067136064 is a `hidden beast` number, since 30 + 6 + 7 + 13 + 606 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3067136069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 325402 + ... + 334694.

Almost surely, 2^3067136064 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 3067136064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4532497920).

3067136064 is an abundant number, since it is smaller than the sum of its proper divisors (5997859776).

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

3067136064 is a wasteful number, since it uses less digits than its factorization.

3067136064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9505 (or 9489 counting only the distinct ones).

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

The square root of 3067136064 is about 55381.7304171692. The cubic root of 3067136064 is about 1452.9288503939.

The spelling of 3067136064 in words is "three billion, sixty-seven million, one hundred thirty-six thousand, sixty-four".