3006761129856 has 672 divisors, whose sum is σ = 9917020847160. Its totient is φ = 906955315200.

The previous prime is 3006761129777. The next prime is 3006761129857. The reversal of 3006761129856 is 6589211676003.

It is a super-2 number, since 2×3006761129856² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3006761129857) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3195282346 + ... + 3195283286.

Almost surely, 2^{3006761129856} is an apocalyptic number.

3006761129856 is a gapful number since it is divisible by the number (36) 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 3006761129856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4958510423580).

3006761129856 is an abundant number, since it is smaller than the sum of its proper divisors (6910259717304).

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

3006761129856 is an equidigital number, since it uses as much as digits as its factorization.

3006761129856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 3006761129856 in words is "three trillion, six billion, seven hundred sixty-one million, one hundred twenty-nine thousand, eight hundred fifty-six".