3995251260 has 864 divisors, whose sum is σ = 16654885632. Its totient is φ = 704471040.

The previous prime is 3995251259. The next prime is 3995251261. The reversal of 3995251260 is 621525993.

3995251260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3995251259) and next prime (3995251261).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3995251261) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 92912799 + ... + 92912841.

It is an arithmetic number, because the mean of its divisors is an integer number (19276488).

Almost surely, 2^3995251260 is an apocalyptic number.

3995251260 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 3995251260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8327442816).

3995251260 is an abundant number, since it is smaller than the sum of its proper divisors (12659634372).

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

3995251260 is a wasteful number, since it uses less digits than its factorization.

3995251260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 42.

The square root of 3995251260 is about 63207.9999683584. Note that the first 4 decimals coincide. The cubic root of 3995251260 is about 1586.7726236430.

It can be divided in two parts, 3995 and 251260, that added together give a triangular number (255255 = T₇₁₄).

The spelling of 3995251260 in words is "three billion, nine hundred ninety-five million, two hundred fifty-one thousand, two hundred sixty".