3940505712 has 320 divisors, whose sum is σ = 13394142720. Its totient is φ = 1093478400.

The previous prime is 3940505707. The next prime is 3940505717. The reversal of 3940505712 is 2175050493.

3940505712 is a `hidden beast` number, since 39 + 4 + 0 + 50 + 571 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3940505707) and next prime (3940505717).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3940505717) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14023012 + ... + 14023292.

It is an arithmetic number, because the mean of its divisors is an integer number (41856696).

Almost surely, 2^3940505712 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 3940505712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6697071360).

3940505712 is an abundant number, since it is smaller than the sum of its proper divisors (9453637008).

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

3940505712 is a wasteful number, since it uses less digits than its factorization.

3940505712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 3940505712 is about 62773.4475076843. The cubic root of 3940505712 is about 1579.4915995004.

The spelling of 3940505712 in words is "three billion, nine hundred forty million, five hundred five thousand, seven hundred twelve".