3125809440 has 240 divisors, whose sum is σ = 11880719928. Its totient is φ = 769388544.

The previous prime is 3125809433. The next prime is 3125809481. The reversal of 3125809440 is 449085213.

3125809440 is a `hidden beast` number, since 31 + 2 + 580 + 9 + 4 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1142710416 + 1983099024 = 33804^2 + 44532^2 .

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

It is a super-2 number, since 2×3125809440² = 19541369310386227200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 3125809395 and 3125809404.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 159204 + ... + 177756.

Almost surely, 2^3125809440 is an apocalyptic number.

3125809440 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 3125809440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5940359964).

3125809440 is an abundant number, since it is smaller than the sum of its proper divisors (8754910488).

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

3125809440 is a wasteful number, since it uses less digits than its factorization.

3125809440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18593 (or 18576 counting only the distinct ones).

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

The square root of 3125809440 is about 55908.9388201923. The cubic root of 3125809440 is about 1462.1350884449.

The spelling of 3125809440 in words is "three billion, one hundred twenty-five million, eight hundred nine thousand, four hundred forty".