3704583424 has 144 divisors (see below), whose sum is σ = 8195418000. Its totient is φ = 1663434752.

The previous prime is 3704583409. The next prime is 3704583427. The reversal of 3704583424 is 4243854073.

It is a happy number.

3704583424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 250905600 + 3453677824 = 15840^2 + 58768^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3704583427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18804894 + ... + 18805090.

It is an arithmetic number, because the mean of its divisors is an integer number (56912625).

Almost surely, 2^3704583424 is an apocalyptic number.

3704583424 is a gapful number since it is divisible by the number (34) 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 3704583424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4097709000).

3704583424 is an abundant number, since it is smaller than the sum of its proper divisors (4490834576).

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

3704583424 is a wasteful number, since it uses less digits than its factorization.

3704583424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 40.

The square root of 3704583424 is about 60865.2891556427. The cubic root of 3704583424 is about 1547.3187671705.

The spelling of 3704583424 in words is "three billion, seven hundred four million, five hundred eighty-three thousand, four hundred twenty-four".