1671382944 has 576 divisors, whose sum is σ = 6418984320. Its totient is φ = 418037760.

The previous prime is 1671382903. The next prime is 1671382967. The reversal of 1671382944 is 4492831761.

1671382944 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1671382944.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17230704 + ... + 17230800.

It is an arithmetic number, because the mean of its divisors is an integer number (11144070).

Almost surely, 2^1671382944 is an apocalyptic number.

1671382944 is a gapful number since it is divisible by the number (14) 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 1671382944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3209492160).

1671382944 is an abundant number, since it is smaller than the sum of its proper divisors (4747601376).

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

1671382944 is a wasteful number, since it uses less digits than its factorization.

1671382944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 157 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 1671382944 is about 40882.5506053622. The cubic root of 1671382944 is about 1186.7484012773.

The spelling of 1671382944 in words is "one billion, six hundred seventy-one million, three hundred eighty-two thousand, nine hundred forty-four".