3731260425120 has 960 divisors, whose sum is σ = 14431839206400. Its totient is φ = 903797637120.

The previous prime is 3731260425119. The next prime is 3731260425127. The reversal of 3731260425120 is 215240621373.

3731260425120 is a `hidden beast` number, since 3 + 7 + 3 + 1 + 2 + 604 + 25 + 1 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3731260425127) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4500916866 + ... + 4500917694.

It is an arithmetic number, because the mean of its divisors is an integer number (15033165840).

Almost surely, 2^{3731260425120} is an apocalyptic number.

3731260425120 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 3731260425120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7215919603200).

3731260425120 is an abundant number, since it is smaller than the sum of its proper divisors (10700578781280).

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

3731260425120 is a wasteful number, since it uses less digits than its factorization.

3731260425120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 3731260425120 in words is "three trillion, seven hundred thirty-one billion, two hundred sixty million, four hundred twenty-five thousand, one hundred twenty".