3029211480064 has 272 divisors, whose sum is σ = 7997839174656. Its totient is φ = 1110756556800.

The previous prime is 3029211480041. The next prime is 3029211480073. The reversal of 3029211480064 is 4600841129203.

It is a tau number, because it is divible by the number of its divisors (272).

It is a super-2 number, since 2×3029211480064² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3029211479999 and 3029211480026.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85768969 + ... + 85804279.

Almost surely, 2^{3029211480064} is an apocalyptic number.

3029211480064 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 3029211480064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3998919587328).

3029211480064 is an abundant number, since it is smaller than the sum of its proper divisors (4968627694592).

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

3029211480064 is an equidigital number, since it uses as much as digits as its factorization.

3029211480064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35378 (or 35348 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 3029211480064 in words is "three trillion, twenty-nine billion, two hundred eleven million, four hundred eighty thousand, sixty-four".