3106106640 has 240 divisors, whose sum is σ = 12838844928. Its totient is φ = 655340544.

The previous prime is 3106106623. The next prime is 3106106671. The reversal of 3106106640 is 466016013.

3106106640 is a `hidden beast` number, since 3 + 1 + 0 + 6 + 10 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41817 + ... + 89223.

Almost surely, 2^3106106640 is an apocalyptic number.

3106106640 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 3106106640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6419422464).

3106106640 is an abundant number, since it is smaller than the sum of its proper divisors (9732738288).

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

3106106640 is a wasteful number, since it uses less digits than its factorization.

3106106640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47446 (or 47437 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3106106640 is about 55732.4558942094. The cubic root of 3106106640 is about 1459.0565368898.

It can be divided in two parts, 3106 and 106640, that added together give a triangular number (109746 = T₄₆₈).

The spelling of 3106106640 in words is "three billion, one hundred six million, one hundred six thousand, six hundred forty".