3874016880 has 60 divisors (see below), whose sum is σ = 13010242440. Its totient is φ = 1033070976.

The previous prime is 3874016819. The next prime is 3874016917. The reversal of 3874016880 is 886104783.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2689570 + ... + 2691009.

It is an arithmetic number, because the mean of its divisors is an integer number (216837374).

Almost surely, 2^3874016880 is an apocalyptic number.

3874016880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3874016880 is an abundant number, since it is smaller than the sum of its proper divisors (9136225560).

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

3874016880 is a wasteful number, since it uses less digits than its factorization.

3874016880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5380598 (or 5380589 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 3874016880 is about 62241.6008791548. The cubic root of 3874016880 is about 1570.5574825241.

The spelling of 3874016880 in words is "three billion, eight hundred seventy-four million, sixteen thousand, eight hundred eighty".