3125463840 has 192 divisors, whose sum is σ = 10973491200. Its totient is φ = 830840832.

The previous prime is 3125463811. The next prime is 3125463863. The reversal of 3125463840 is 483645213.

3125463840 is a `hidden beast` number, since 3 + 12 + 5 + 4 + 638 + 4 + 0 = 666.

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 = 3125463795 and 3125463804.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1653616 + ... + 1655504.

It is an arithmetic number, because the mean of its divisors is an integer number (57153600).

Almost surely, 2^3125463840 is an apocalyptic number.

3125463840 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 3125463840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5486745600).

3125463840 is an abundant number, since it is smaller than the sum of its proper divisors (7848027360).

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

3125463840 is a wasteful number, since it uses less digits than its factorization.

3125463840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3125463840 is about 55905.8479946418. The cubic root of 3125463840 is about 1462.0812002686.

The spelling of 3125463840 in words is "three billion, one hundred twenty-five million, four hundred sixty-three thousand, eight hundred forty".