3973539024 has 320 divisors, whose sum is σ = 14276308480. Its totient is φ = 1030164480.

The previous prime is 3973538977. The next prime is 3973539079. The reversal of 3973539024 is 4209353793.

3973539024 is a `hidden beast` number, since 3 + 97 + 3 + 539 + 0 + 24 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2397204 + ... + 2398860.

It is an arithmetic number, because the mean of its divisors is an integer number (44613464).

Almost surely, 2^3973539024 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 3973539024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7138154240).

3973539024 is an abundant number, since it is smaller than the sum of its proper divisors (10302769456).

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

3973539024 is a wasteful number, since it uses less digits than its factorization.

3973539024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The square root of 3973539024 is about 63036.0137064520. The cubic root of 3973539024 is about 1583.8929564946.

The spelling of 3973539024 in words is "three billion, nine hundred seventy-three million, five hundred thirty-nine thousand, twenty-four".