3873732768 has 384 divisors, whose sum is σ = 12579840000. Its totient is φ = 1154829312.

The previous prime is 3873732713. The next prime is 3873732781. The reversal of 3873732768 is 8672373783.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37609005 + ... + 37609107.

It is an arithmetic number, because the mean of its divisors is an integer number (32760000).

Almost surely, 2^3873732768 is an apocalyptic number.

3873732768 is a gapful number since it is divisible by the number (38) 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 3873732768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289920000).

3873732768 is an abundant number, since it is smaller than the sum of its proper divisors (8706107232).

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

3873732768 is a wasteful number, since it uses less digits than its factorization.

3873732768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 235 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 54.

The square root of 3873732768 is about 62239.3185052664. The cubic root of 3873732768 is about 1570.5190878251.

The spelling of 3873732768 in words is "three billion, eight hundred seventy-three million, seven hundred thirty-two thousand, seven hundred sixty-eight".