3873004625 has 64 divisors (see below), whose sum is σ = 5728419840. Its totient is φ = 2559211200.

The previous prime is 3873004609. The next prime is 3873004691. The reversal of 3873004625 is 5264003783.

It is not a de Polignac number, because 3873004625 - 2⁴ = 3873004609 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2971724 + ... + 2973026.

It is an arithmetic number, because the mean of its divisors is an integer number (89506560).

Almost surely, 2^3873004625 is an apocalyptic number.

3873004625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3873004625 is a deficient number, since it is larger than the sum of its proper divisors (1855415215).

3873004625 is a wasteful number, since it uses less digits than its factorization.

3873004625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The square root of 3873004625 is about 62233.4686884798. The cubic root of 3873004625 is about 1570.4206785123.

The spelling of 3873004625 in words is "three billion, eight hundred seventy-three million, four thousand, six hundred twenty-five".