3949811712 has 576 divisors, whose sum is σ = 14963719680. Its totient is φ = 981319680.

The previous prime is 3949811707. The next prime is 3949811717. The reversal of 3949811712 is 2171189493.

3949811712 is a `hidden beast` number, since 39 + 498 + 117 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (3949811707) and next prime (3949811717).

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3949811717) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171730933 + ... + 171730955.

It is an arithmetic number, because the mean of its divisors is an integer number (25978680).

Almost surely, 2^3949811712 is an apocalyptic number.

3949811712 is a gapful number since it is divisible by the number (32) 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 3949811712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7481859840).

3949811712 is an abundant number, since it is smaller than the sum of its proper divisors (11013907968).

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

3949811712 is a wasteful number, since it uses less digits than its factorization.

3949811712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 46 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 3949811712 is about 62847.5274931321. The cubic root of 3949811712 is about 1580.7340113526.

It can be divided in two parts, 394981 and 1712, that added together give a palindrome (396693).

The spelling of 3949811712 in words is "three billion, nine hundred forty-nine million, eight hundred eleven thousand, seven hundred twelve".