3873546240 has 224 divisors, whose sum is σ = 12833786880. Its totient is φ = 996409344.

The previous prime is 3873546239. The next prime is 3873546247. The reversal of 3873546240 is 426453783.

It is a junction number, because it is equal to n+sod(n) for n = 3873546192 and 3873546201.

It is not an unprimeable number, because it can be changed into a prime (3873546247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3562977 + ... + 3564063.

Almost surely, 2^3873546240 is an apocalyptic number.

3873546240 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 3873546240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6416893440).

3873546240 is an abundant number, since it is smaller than the sum of its proper divisors (8960240640).

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

3873546240 is a wasteful number, since it uses less digits than its factorization.

3873546240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The square root of 3873546240 is about 62237.8200132363. The cubic root of 3873546240 is about 1570.4938795395.

The spelling of 3873546240 in words is "three billion, eight hundred seventy-three million, five hundred forty-six thousand, two hundred forty".