3873366720 has 168 divisors, whose sum is σ = 13392357264. Its totient is φ = 1027504128.

The previous prime is 3873366691. The next prime is 3873366779. The reversal of 3873366720 is 276633783.

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

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, 563947 + ... + 570773.

Almost surely, 2^3873366720 is an apocalyptic number.

3873366720 is a gapful number since it is divisible by the number (30) 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 3873366720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6696178632).

3873366720 is an abundant number, since it is smaller than the sum of its proper divisors (9518990544).

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

3873366720 is a wasteful number, since it uses less digits than its factorization.

3873366720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7047 (or 7034 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The square root of 3873366720 is about 62236.3777866289. The cubic root of 3873366720 is about 1570.4696175842.

The spelling of 3873366720 in words is "three billion, eight hundred seventy-three million, three hundred sixty-six thousand, seven hundred twenty".