3961767024 has 240 divisors, whose sum is σ = 12198906720. Its totient is φ = 1242501120.

The previous prime is 3961766981. The next prime is 3961767041. The reversal of 3961767024 is 4207671693.

3961767024 is a `hidden beast` number, since 3 + 9 + 617 + 6 + 7 + 0 + 24 = 666.

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, 4622404 + ... + 4623260.

It is an arithmetic number, because the mean of its divisors is an integer number (50828778).

Almost surely, 2^3961767024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3961767024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6099453360).

3961767024 is an abundant number, since it is smaller than the sum of its proper divisors (8237139696).

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

3961767024 is a wasteful number, since it uses less digits than its factorization.

3961767024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 3961767024 is about 62942.5692516599. The cubic root of 3961767024 is about 1582.3272631025.

The spelling of 3961767024 in words is "three billion, nine hundred sixty-one million, seven hundred sixty-seven thousand, twenty-four".