3125106640 has 80 divisors (see below), whose sum is σ = 7399526400. Its totient is φ = 1227211776.

The previous prime is 3125106601. The next prime is 3125106641. The reversal of 3125106640 is 466015213.

3125106640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3125106640² = 19532583022744179200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3125106599 and 3125106608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3125106641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1394641 + ... + 1396879.

It is an arithmetic number, because the mean of its divisors is an integer number (92494080).

Almost surely, 2^3125106640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3125106640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3699763200).

3125106640 is an abundant number, since it is smaller than the sum of its proper divisors (4274419760).

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

3125106640 is a wasteful number, since it uses less digits than its factorization.

3125106640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2564 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 3125106640 is about 55902.6532465142. The cubic root of 3125106640 is about 1462.0254991707.

The spelling of 3125106640 in words is "three billion, one hundred twenty-five million, one hundred six thousand, six hundred forty".