3914806512 has 160 divisors (see below), whose sum is σ = 11661753600. Its totient is φ = 1123282944.

The previous prime is 3914806501. The next prime is 3914806513. The reversal of 3914806512 is 2156084193.

It is a super-4 number, since 4×3914806512⁴ (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3914806513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 445263 + ... + 453969.

It is an arithmetic number, because the mean of its divisors is an integer number (72885960).

Almost surely, 2^3914806512 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 3914806512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5830876800).

3914806512 is an abundant number, since it is smaller than the sum of its proper divisors (7746947088).

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

3914806512 is a wasteful number, since it uses less digits than its factorization.

3914806512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8783 (or 8777 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 3914806512 is about 62568.4146514837. The cubic root of 3914806512 is about 1576.0503969214.

The spelling of 3914806512 in words is "three billion, nine hundred fourteen million, eight hundred six thousand, five hundred twelve".