3125893680 has 1120 divisors, whose sum is σ = 14572400640. Its totient is φ = 604661760.

The previous prime is 3125893679. The next prime is 3125893697. The reversal of 3125893680 is 863985213.

It is a happy number.

3125893680 is a `hidden beast` number, since 3 + 1 + 2 + 589 + 3 + 68 + 0 = 666.

It is a super-3 number, since 3×3125893680³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 100835265 + ... + 100835295.

It is an arithmetic number, because the mean of its divisors is an integer number (13011072).

Almost surely, 2^3125893680 is an apocalyptic number.

3125893680 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 3125893680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7286200320).

3125893680 is an abundant number, since it is smaller than the sum of its proper divisors (11446506960).

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

3125893680 is a wasteful number, since it uses less digits than its factorization.

3125893680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 3125893680 is about 55909.6921830196. The cubic root of 3125893680 is about 1462.1482230858.

The spelling of 3125893680 in words is "three billion, one hundred twenty-five million, eight hundred ninety-three thousand, six hundred eighty".