3873666240 has 560 divisors, whose sum is σ = 14936724000. Its totient is φ = 949321728.

The previous prime is 3873666239. The next prime is 3873666253. The reversal of 3873666240 is 426663783.

3873666240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25997686 + ... + 25997834.

Almost surely, 2^3873666240 is an apocalyptic number.

3873666240 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 3873666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7468362000).

3873666240 is an abundant number, since it is smaller than the sum of its proper divisors (11063057760).

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

3873666240 is a wasteful number, since it uses less digits than its factorization.

3873666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 3873666240 is about 62238.7840498190. The cubic root of 3873666240 is about 1570.5100970060.

It can be divided in two parts, 38736 and 66240, that added together give a 4-th power (104976 = 18⁴).

The spelling of 3873666240 in words is "three billion, eight hundred seventy-three million, six hundred sixty-six thousand, two hundred forty".