3029114880000 has 1700 divisors, whose sum is σ = 12485431295568. Its totient is φ = 725483520000.

The previous prime is 3029114879969. The next prime is 3029114880007. The reversal of 3029114880000 is 884119203.

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

It is not an unprimeable number, because it can be changed into a prime (3029114880007) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 36495359959 + ... + 36495360041.

Almost surely, 2^{3029114880000} is an apocalyptic number.

3029114880000 is a gapful number since it is divisible by the number (30) 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 3029114880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6242715647784).

3029114880000 is an abundant number, since it is smaller than the sum of its proper divisors (9456316415568).

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

3029114880000 is an frugal number, since it uses more digits than its factorization.

3029114880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Adding to 3029114880000 its reverse (884119203), we get a palindrome (3029998999203).

The spelling of 3029114880000 in words is "three trillion, twenty-nine billion, one hundred fourteen million, eight hundred eighty thousand".