3145100760 has 96 divisors (see below), whose sum is σ = 10235160000. Its totient is φ = 837579264.

The previous prime is 3145100741. The next prime is 3145100767. The reversal of 3145100760 is 670015413.

It is a super-3 number, since 3×3145100760³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3145100767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285841 + ... + 296639.

It is an arithmetic number, because the mean of its divisors is an integer number (106616250).

Almost surely, 2^3145100760 is an apocalyptic number.

3145100760 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 3145100760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5117580000).

3145100760 is an abundant number, since it is smaller than the sum of its proper divisors (7090059240).

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

3145100760 is a wasteful number, since it uses less digits than its factorization.

3145100760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11625 (or 11618 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 3145100760 is about 56081.1979187321. The cubic root of 3145100760 is about 1465.1368375797.

The spelling of 3145100760 in words is "three billion, one hundred forty-five million, one hundred thousand, seven hundred sixty".