3904836984 has 192 divisors, whose sum is σ = 11714976000. Its totient is φ = 1214922240.

The previous prime is 3904836967. The next prime is 3904836989. The reversal of 3904836984 is 4896384093.

It is a happy number.

It is a super-2 number, since 2×3904836984² = 30495503743228432512, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3904836984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3904836989) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2621712 + ... + 2623200.

It is an arithmetic number, because the mean of its divisors is an integer number (61015500).

Almost surely, 2^3904836984 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 3904836984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5857488000).

3904836984 is an abundant number, since it is smaller than the sum of its proper divisors (7810139016).

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

3904836984 is a wasteful number, since it uses less digits than its factorization.

3904836984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The square root of 3904836984 is about 62488.6948495486. The cubic root of 3904836984 is about 1574.7113920157.

The spelling of 3904836984 in words is "three billion, nine hundred four million, eight hundred thirty-six thousand, nine hundred eighty-four".