3842931312 has 240 divisors, whose sum is σ = 12284213760. Its totient is φ = 1111065600.

The previous prime is 3842931289. The next prime is 3842931329. The reversal of 3842931312 is 2131392483.

3842931312 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

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

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, 3051739 + ... + 3052997.

It is an arithmetic number, because the mean of its divisors is an integer number (51184224).

Almost surely, 2^3842931312 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 3842931312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6142106880).

3842931312 is an abundant number, since it is smaller than the sum of its proper divisors (8441282448).

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

3842931312 is a wasteful number, since it uses less digits than its factorization.

3842931312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1363 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 3842931312 is about 61991.3809492900. The cubic root of 3842931312 is about 1566.3454168736.

The spelling of 3842931312 in words is "three billion, eight hundred forty-two million, nine hundred thirty-one thousand, three hundred twelve".