3924978336 has 192 divisors, whose sum is σ = 12006973440. Its totient is φ = 1245024000.

The previous prime is 3924978331. The next prime is 3924978341. The reversal of 3924978336 is 6338794293.

3924978336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3924978331) and next prime (3924978341).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3924978331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5225961 + ... + 5226711.

It is an arithmetic number, because the mean of its divisors is an integer number (62536320).

Almost surely, 2^3924978336 is an apocalyptic number.

3924978336 is a gapful number since it is divisible by the number (36) 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 3924978336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6003486720).

3924978336 is an abundant number, since it is smaller than the sum of its proper divisors (8081995104).

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

3924978336 is a wasteful number, since it uses less digits than its factorization.

3924978336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1042 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The square root of 3924978336 is about 62649.6475329271. The cubic root of 3924978336 is about 1577.4142312531.

The spelling of 3924978336 in words is "three billion, nine hundred twenty-four million, nine hundred seventy-eight thousand, three hundred thirty-six".