3704400000 has 768 divisors, whose sum is σ = 15936480000. Its totient is φ = 846720000.

The previous prime is 3704399971. The next prime is 3704400001. The reversal of 3704400000 is 44073.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3704400001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 529199997 + ... + 529200003.

It is an arithmetic number, because the mean of its divisors is an integer number (20750625).

Almost surely, 2^3704400000 is an apocalyptic number.

3704400000 is a gapful number since it is divisible by the number (30) 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 3704400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7968240000).

3704400000 is an abundant number, since it is smaller than the sum of its proper divisors (12232080000).

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

3704400000 is an frugal number, since it uses more digits than its factorization.

3704400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 3704400000 is about 60863.7823339956. The cubic root of 3704400000 is about 1547.2932294290.

Adding to 3704400000 its reverse (44073), we get a palindrome (3704444073).

The spelling of 3704400000 in words is "three billion, seven hundred four million, four hundred thousand".