3029969652864 has 1024 divisors, whose sum is σ = 11018904698880. Its totient is φ = 713451110400.

The previous prime is 3029969652859. The next prime is 3029969652869. The reversal of 3029969652864 is 4682569699203.

It is an interprime number because it is at equal distance from previous prime (3029969652859) and next prime (3029969652869).

It is not an unprimeable number, because it can be changed into a prime (3029969652869) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5251246944 + ... + 5251247520.

It is an arithmetic number, because the mean of its divisors is an integer number (10760649120).

Almost surely, 2^{3029969652864} is an apocalyptic number.

3029969652864 is a gapful number since it is divisible by the number (34) 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 3029969652864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5509452349440).

3029969652864 is an abundant number, since it is smaller than the sum of its proper divisors (7988935046016).

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

3029969652864 is a wasteful number, since it uses less digits than its factorization.

3029969652864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 302330880, while the sum is 69.

The spelling of 3029969652864 in words is "three trillion, twenty-nine billion, nine hundred sixty-nine million, six hundred fifty-two thousand, eight hundred sixty-four".