3704673024 has 288 divisors, whose sum is σ = 11967211200. Its totient is φ = 1137659904.

The previous prime is 3704672981. The next prime is 3704673047. The reversal of 3704673024 is 4203764073.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 3704673024.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7278082 + ... + 7278590.

Almost surely, 2^3704673024 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 3704673024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5983605600).

3704673024 is an abundant number, since it is smaller than the sum of its proper divisors (8262538176).

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

3704673024 is an frugal number, since it uses more digits than its factorization.

3704673024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 3704673024 is about 60866.0252028995. The cubic root of 3704673024 is about 1547.3312416854.

The spelling of 3704673024 in words is "three billion, seven hundred four million, six hundred seventy-three thousand, twenty-four".