3125937360 has 640 divisors, whose sum is σ = 12799180800. Its totient is φ = 625895424.

The previous prime is 3125937343. The next prime is 3125937379. The reversal of 3125937360 is 637395213.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24613617 + ... + 24613743.

It is an arithmetic number, because the mean of its divisors is an integer number (19998720).

Almost surely, 2^3125937360 is an apocalyptic number.

3125937360 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 3125937360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6399590400).

3125937360 is an abundant number, since it is smaller than the sum of its proper divisors (9673243440).

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

3125937360 is a wasteful number, since it uses less digits than its factorization.

3125937360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 39.

The square root of 3125937360 is about 55910.0828116003. The cubic root of 3125937360 is about 1462.1550335474.

The spelling of 3125937360 in words is "three billion, one hundred twenty-five million, nine hundred thirty-seven thousand, three hundred sixty".