3105461688 has 256 divisors, whose sum is σ = 9749376000. Its totient is φ = 804556800.

The previous prime is 3105461663. The next prime is 3105461717. The reversal of 3105461688 is 8861645013.

3105461688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7982998 + ... + 7983386.

It is an arithmetic number, because the mean of its divisors is an integer number (38083500).

Almost surely, 2^3105461688 is an apocalyptic number.

3105461688 is a gapful number since it is divisible by the number (38) 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 3105461688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4874688000).

3105461688 is an abundant number, since it is smaller than the sum of its proper divisors (6643914312).

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

3105461688 is a wasteful number, since it uses less digits than its factorization.

3105461688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 3105461688 is about 55726.6694500936. The cubic root of 3105461688 is about 1458.9555437302.

The spelling of 3105461688 in words is "three billion, one hundred five million, four hundred sixty-one thousand, six hundred eighty-eight".