3845384832 has 128 divisors (see below), whose sum is σ = 10645862400. Its totient is φ = 1228446720.

The previous prime is 3845384827. The next prime is 3845384849. The reversal of 3845384832 is 2384835483.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1272219 + ... + 1275237.

It is an arithmetic number, because the mean of its divisors is an integer number (83170800).

Almost surely, 2^3845384832 is an apocalyptic number.

3845384832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3845384832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322931200).

3845384832 is an abundant number, since it is smaller than the sum of its proper divisors (6800477568).

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

3845384832 is a wasteful number, since it uses less digits than its factorization.

3845384832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174 (or 3162 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 48.

The square root of 3845384832 is about 62011.1669943406. The cubic root of 3845384832 is about 1566.6786904364.

The spelling of 3845384832 in words is "three billion, eight hundred forty-five million, three hundred eighty-four thousand, eight hundred thirty-two".