3924989376 has 672 divisors, whose sum is σ = 14710574592. Its totient is φ = 908328960.

The previous prime is 3924989371. The next prime is 3924989423. The reversal of 3924989376 is 6739894293.

3924989376 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 tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3924989371) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40463760 + ... + 40463856.

It is an arithmetic number, because the mean of its divisors is an integer number (21890736).

Almost surely, 2^3924989376 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 3924989376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7355287296).

3924989376 is an abundant number, since it is smaller than the sum of its proper divisors (10785585216).

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

3924989376 is a wasteful number, since it uses less digits than its factorization.

3924989376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 160 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 60.

The square root of 3924989376 is about 62649.7356419004. The cubic root of 3924989376 is about 1577.4157102113.

The spelling of 3924989376 in words is "three billion, nine hundred twenty-four million, nine hundred eighty-nine thousand, three hundred seventy-six".