3872473024 has 112 divisors (see below), whose sum is σ = 8983065600. Its totient is φ = 1622025216.

The previous prime is 3872473013. The next prime is 3872473063. The reversal of 3872473024 is 4203742783.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 6316942 + ... + 6317554.

Almost surely, 2^3872473024 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 3872473024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4491532800).

3872473024 is an abundant number, since it is smaller than the sum of its proper divisors (5110592576).

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

3872473024 is a wasteful number, since it uses less digits than its factorization.

3872473024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 40.

The square root of 3872473024 is about 62229.1975201352. The cubic root of 3872473024 is about 1570.3488242731.

The spelling of 3872473024 in words is "three billion, eight hundred seventy-two million, four hundred seventy-three thousand, twenty-four".