3236009948064 has 288 divisors, whose sum is σ = 9966872784960. Its totient is φ = 992565964800.

The previous prime is 3236009948011. The next prime is 3236009948117. The reversal of 3236009948064 is 4608499006323.

3236009948064 is a `hidden beast` number, since 3 + 23 + 600 + 9 + 9 + 4 + 8 + 0 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3236009948011) and next prime (3236009948117).

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 3236009948064.

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, 50896134 + ... + 50959674.

It is an arithmetic number, because the mean of its divisors is an integer number (34607197170).

Almost surely, 2^{3236009948064} 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 3236009948064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4983436392480).

3236009948064 is an abundant number, since it is smaller than the sum of its proper divisors (6730862836896).

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

3236009948064 is a wasteful number, since it uses less digits than its factorization.

3236009948064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63844 (or 63833 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 3236009948064 in words is "three trillion, two hundred thirty-six billion, nine million, nine hundred forty-eight thousand, sixty-four".