3873189400416 has 144 divisors (see below), whose sum is σ = 12621615630624. Its totient is φ = 1103658504192.

The previous prime is 3873189400397. The next prime is 3873189400537. The reversal of 3873189400416 is 6140049813783.

3873189400416 is a `hidden beast` number, since 3 + 8 + 7 + 3 + 189 + 40 + 0 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3873189400416² (a number of 26 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1823401 + ... + 3327336.

It is an arithmetic number, because the mean of its divisors is an integer number (87650108546).

Almost surely, 2^{3873189400416} is an apocalyptic number.

3873189400416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3873189400416 is an abundant number, since it is smaller than the sum of its proper divisors (8748426230208).

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

3873189400416 is a wasteful number, since it uses less digits than its factorization.

3873189400416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5151133 (or 5151122 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 3873189400416 in words is "three trillion, eight hundred seventy-three billion, one hundred eighty-nine million, four hundred thousand, four hundred sixteen".