3061029469680 has 800 divisors, whose sum is σ = 13854551001984. Its totient is φ = 607850790912.

The previous prime is 3061029469661. The next prime is 3061029469691. The reversal of 3061029469680 is 869649201603.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9871884 + ... + 10177236.

Almost surely, 2^{3061029469680} is an apocalyptic number.

3061029469680 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 3061029469680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6927275500992).

3061029469680 is an abundant number, since it is smaller than the sum of its proper divisors (10793521532304).

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

3061029469680 is a wasteful number, since it uses less digits than its factorization.

3061029469680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305415 (or 305400 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 3061029469680 in words is "three trillion, sixty-one billion, twenty-nine million, four hundred sixty-nine thousand, six hundred eighty".