3904220736 has 392 divisors, whose sum is σ = 12896097144. Its totient is φ = 1164533760.

The previous prime is 3904220669. The next prime is 3904220737. The reversal of 3904220736 is 6370224093.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 141134400 + 3763086336 = 11880^2 + 61344^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3904220736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3904220737) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 24867570 + ... + 24867726.

It is an arithmetic number, because the mean of its divisors is an integer number (32898207).

Almost surely, 2^3904220736 is an apocalyptic number.

3904220736 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 3904220736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6448048572).

3904220736 is an abundant number, since it is smaller than the sum of its proper divisors (8991876408).

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

3904220736 is a wasteful number, since it uses less digits than its factorization.

3904220736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3904220736 is about 62483.7637790810. The cubic root of 3904220736 is about 1574.6285491379.

The spelling of 3904220736 in words is "three billion, nine hundred four million, two hundred twenty thousand, seven hundred thirty-six".