3873403920 has 80 divisors (see below), whose sum is σ = 12016105920. Its totient is φ = 1032172032.

The previous prime is 3873403873. The next prime is 3873403921. The reversal of 3873403920 is 293043783.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (3873403921) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 387951 + ... + 397809.

It is an arithmetic number, because the mean of its divisors is an integer number (150201324).

Almost surely, 2^3873403920 is an apocalyptic number.

3873403920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3873403920 is an abundant number, since it is smaller than the sum of its proper divisors (8142702000).

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

3873403920 is a wasteful number, since it uses less digits than its factorization.

3873403920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11512 (or 11506 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 3873403920 is about 62236.6766464920. The cubic root of 3873403920 is about 1570.4746451900.

The spelling of 3873403920 in words is "three billion, eight hundred seventy-three million, four hundred three thousand, nine hundred twenty".