3983254080 has 224 divisors, whose sum is σ = 14212848384. Its totient is φ = 937795584.

The previous prime is 3983254073. The next prime is 3983254097. The reversal of 3983254080 is 804523893.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280102 + ... + 293978.

It is an arithmetic number, because the mean of its divisors is an integer number (63450216).

Almost surely, 2^3983254080 is an apocalyptic number.

3983254080 is a gapful number since it is divisible by the number (30) 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 3983254080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7106424192).

3983254080 is an abundant number, since it is smaller than the sum of its proper divisors (10229594304).

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

3983254080 is a wasteful number, since it uses less digits than its factorization.

3983254080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13933 (or 13923 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 3983254080 is about 63113.0262307236. The cubic root of 3983254080 is about 1585.1827458655.

The spelling of 3983254080 in words is "three billion, nine hundred eighty-three million, two hundred fifty-four thousand, eighty".