3962867160 has 192 divisors, whose sum is σ = 14065228800. Its totient is φ = 890367744.

The previous prime is 3962867149. The next prime is 3962867267. The reversal of 3962867160 is 617682693.

3962867160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3962867160² = 31408632255612931200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341209 + ... + 352631.

It is an arithmetic number, because the mean of its divisors is an integer number (73256400).

Almost surely, 2^3962867160 is an apocalyptic number.

3962867160 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 3962867160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7032614400).

3962867160 is an abundant number, since it is smaller than the sum of its proper divisors (10102361640).

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

3962867160 is a wasteful number, since it uses less digits than its factorization.

3962867160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11510 (or 11499 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 3962867160 is about 62951.3078497977. The cubic root of 3962867160 is about 1582.4737140901.

The spelling of 3962867160 in words is "three billion, nine hundred sixty-two million, eight hundred sixty-seven thousand, one hundred sixty".