3721233824 has 192 divisors, whose sum is σ = 9405849600. Its totient is φ = 1407436800.

The previous prime is 3721233821. The next prime is 3721233829. The reversal of 3721233824 is 4283321273.

3721233824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3721233824³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3721233821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15569897 + ... + 15570135.

It is an arithmetic number, because the mean of its divisors is an integer number (48988800).

Almost surely, 2^3721233824 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 3721233824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4702924800).

3721233824 is an abundant number, since it is smaller than the sum of its proper divisors (5684615776).

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

3721233824 is a wasteful number, since it uses less digits than its factorization.

3721233824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 419 counting only the distinct ones).

The product of its digits is 48384, while the sum is 35.

The square root of 3721233824 is about 61001.9165600557. The cubic root of 3721233824 is about 1549.6334650477.

The spelling of 3721233824 in words is "three billion, seven hundred twenty-one million, two hundred thirty-three thousand, eight hundred twenty-four".