3983104125 has 384 divisors, whose sum is σ = 10073935872. Its totient is φ = 1516320000.

The previous prime is 3983104109. The next prime is 3983104157. The reversal of 3983104125 is 5214013893.

It is not a de Polignac number, because 3983104125 - 2⁴ = 3983104109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3983104125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 30405310 + ... + 30405440.

It is an arithmetic number, because the mean of its divisors is an integer number (26234208).

Almost surely, 2^3983104125 is an apocalyptic number.

3983104125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3983104125 is an abundant number, since it is smaller than the sum of its proper divisors (6090831747).

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

3983104125 is a wasteful number, since it uses less digits than its factorization.

3983104125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3983104125 is about 63111.8382318246. The cubic root of 3983104125 is about 1585.1628534980.

The spelling of 3983104125 in words is "three billion, nine hundred eighty-three million, one hundred four thousand, one hundred twenty-five".