3939216624 has 720 divisors, whose sum is σ = 14819051520. Its totient is φ = 1005903360.

The previous prime is 3939216607. The next prime is 3939216643. The reversal of 3939216624 is 4266129393.

3939216624 is a `hidden beast` number, since 3 + 9 + 3 + 9 + 2 + 16 + 624 = 666.

It is a super-2 number, since 2×3939216624² = 31034855221595914752, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3939216624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 127071489 + ... + 127071519.

It is an arithmetic number, because the mean of its divisors is an integer number (20582016).

Almost surely, 2^3939216624 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 3939216624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7409525760).

3939216624 is an abundant number, since it is smaller than the sum of its proper divisors (10879834896).

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

3939216624 is a wasteful number, since it uses less digits than its factorization.

3939216624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 95 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 3939216624 is about 62763.1788869876. The cubic root of 3939216624 is about 1579.3193436290.

The spelling of 3939216624 in words is "three billion, nine hundred thirty-nine million, two hundred sixteen thousand, six hundred twenty-four".