3125677456 has 80 divisors (see below), whose sum is σ = 6751800000. Its totient is φ = 1389772800.

The previous prime is 3125677381. The next prime is 3125677459. The reversal of 3125677456 is 6547765213.

Its product of digits (1058400) is a multiple of the sum of its prime factors (1568).

It is not an unprimeable number, because it can be changed into a prime (3125677459) 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, 2501920 + ... + 2503168.

It is an arithmetic number, because the mean of its divisors is an integer number (84397500).

Almost surely, 2^3125677456 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 3125677456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3375900000).

3125677456 is an abundant number, since it is smaller than the sum of its proper divisors (3626122544).

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

3125677456 is a wasteful number, since it uses less digits than its factorization.

3125677456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1562 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 46.

The square root of 3125677456 is about 55907.7584598059. The cubic root of 3125677456 is about 1462.1145091190.

It can be divided in two parts, 312567 and 7456, that added together give a palindrome (320023).

The spelling of 3125677456 in words is "three billion, one hundred twenty-five million, six hundred seventy-seven thousand, four hundred fifty-six".