3034864723968 has 960 divisors, whose sum is σ = 11496118233600. Its totient is φ = 774723502080.

The previous prime is 3034864723897. The next prime is 3034864723973. The reversal of 3034864723968 is 8693274684303.

3034864723968 is a `hidden beast` number, since 3 + 0 + 3 + 486 + 47 + 23 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 753627171 + ... + 753631197.

It is an arithmetic number, because the mean of its divisors is an integer number (11975123160).

Almost surely, 2^{3034864723968} 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 3034864723968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5748059116800).

3034864723968 is an abundant number, since it is smaller than the sum of its proper divisors (8461253509632).

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

3034864723968 is a wasteful number, since it uses less digits than its factorization.

3034864723968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4138 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 3034864723968 in words is "three trillion, thirty-four billion, eight hundred sixty-four million, seven hundred twenty-three thousand, nine hundred sixty-eight".