3078861786000 has 3840 divisors, whose sum is σ = 15411813580800. Its totient is φ = 577414656000.

The previous prime is 3078861785947. The next prime is 3078861786001. The reversal of 3078861786000 is 6871688703.

3078861786000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3078861786000² (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 not an unprimeable number, because it can be changed into a prime (3078861786001) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 29891861949 + ... + 29891862051.

It is an arithmetic number, because the mean of its divisors is an integer number (4013493120).

Almost surely, 2^{3078861786000} is an apocalyptic number.

3078861786000 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 3078861786000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7705906790400).

3078861786000 is an abundant number, since it is smaller than the sum of its proper divisors (12332951794800).

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

3078861786000 is a wasteful number, since it uses less digits than its factorization.

3078861786000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 3078861786000 in words is "three trillion, seventy-eight billion, eight hundred sixty-one million, seven hundred eighty-six thousand".