3982049600 has 42 divisors (see below), whose sum is σ = 9798334734. Its totient is φ = 1592819200.

The previous prime is 3982049551. The next prime is 3982049623. The reversal of 3982049600 is 69402893.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 829900864 + 3152148736 = 28808^2 + 56144^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1242791 + ... + 1245990.

Almost surely, 2^3982049600 is an apocalyptic number.

It is an amenable number.

3982049600 is an abundant number, since it is smaller than the sum of its proper divisors (5816285134).

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

3982049600 is a wasteful number, since it uses less digits than its factorization.

3982049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488803 (or 2488788 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 3982049600 is about 63103.4832636044. The cubic root of 3982049600 is about 1585.0229507701.

The spelling of 3982049600 in words is "three billion, nine hundred eighty-two million, forty-nine thousand, six hundred".