3883431200 has 144 divisors (see below), whose sum is σ = 10622695104. Its totient is φ = 1373875200.

The previous prime is 3883431197. The next prime is 3883431221. The reversal of 3883431200 is 21343883.

It is a happy number.

3883431200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319637 + ... + 331563.

It is an arithmetic number, because the mean of its divisors is an integer number (73768716).

Almost surely, 2^3883431200 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 3883431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5311347552).

3883431200 is an abundant number, since it is smaller than the sum of its proper divisors (6739263904).

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

3883431200 is a wasteful number, since it uses less digits than its factorization.

3883431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11995 (or 11982 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 3883431200 is about 62317.1822212783. The cubic root of 3883431200 is about 1571.8286669557.

The spelling of 3883431200 in words is "three billion, eight hundred eighty-three million, four hundred thirty-one thousand, two hundred".