3106412506080 has 1152 divisors, whose sum is σ = 12061136400768. Its totient is φ = 750461386752.

The previous prime is 3106412506073. The next prime is 3106412506097. The reversal of 3106412506080 is 806052146013.

It is a happy number.

3106412506080 is a `hidden beast` number, since 3 + 1 + 0 + 6 + 41 + 2 + 5 + 0 + 608 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7824716442 + ... + 7824716838.

It is an arithmetic number, because the mean of its divisors is an integer number (10469736459).

Almost surely, 2^{3106412506080} is an apocalyptic number.

3106412506080 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 3106412506080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6030568200384).

3106412506080 is an abundant number, since it is smaller than the sum of its proper divisors (8954723894688).

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

3106412506080 is a wasteful number, since it uses less digits than its factorization.

3106412506080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 3106412506080 in words is "three trillion, one hundred six billion, four hundred twelve million, five hundred six thousand, eighty".