3931213824 has 390 divisors, whose sum is σ = 12779385234. Its totient is φ = 1203240960.

The previous prime is 3931213823. The next prime is 3931213883. The reversal of 3931213824 is 4283121393.

It can be written as a sum of positive squares in 3 ways, for example, as 613453824 + 3317760000 = 24768^2 + 57600^2 .

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 not an unprimeable number, because it can be changed into a prime (3931213823) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 95883244 + ... + 95883284.

Almost surely, 2^3931213824 is an apocalyptic number.

3931213824 is a gapful number since it is divisible by the number (34) 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 3931213824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6389692617).

3931213824 is an abundant number, since it is smaller than the sum of its proper divisors (8848171410).

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

3931213824 is an equidigital number, since it uses as much as digits as its factorization.

3931213824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 63 counting only the distinct ones).

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

The square root of 3931213824 is about 62699.3925329425. The cubic root of 3931213824 is about 1578.2491185294.

The spelling of 3931213824 in words is "three billion, nine hundred thirty-one million, two hundred thirteen thousand, eight hundred twenty-four".