3802089984 has 640 divisors, whose sum is σ = 14028816384. Its totient is φ = 884736000.

The previous prime is 3802089983. The next prime is 3802090021. The reversal of 3802089984 is 4899802083.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (3802089983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62329314 + ... + 62329374.

Almost surely, 2^3802089984 is an apocalyptic number.

3802089984 is a gapful number since it is divisible by the number (34) 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 3802089984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7014408192).

3802089984 is an abundant number, since it is smaller than the sum of its proper divisors (10226726400).

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

3802089984 is a wasteful number, since it uses less digits than its factorization.

3802089984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The square root of 3802089984 is about 61661.0897081782. The cubic root of 3802089984 is about 1560.7767860557.

The spelling of 3802089984 in words is "three billion, eight hundred two million, eighty-nine thousand, nine hundred eighty-four".