3873461760 has 720 divisors, whose sum is σ = 16155412416. Its totient is φ = 854654976.

The previous prime is 3873461731. The next prime is 3873461777. The reversal of 3873461760 is 671643783.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53061084 + ... + 53061156.

Almost surely, 2^3873461760 is an apocalyptic number.

3873461760 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 3873461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8077706208).

3873461760 is an abundant number, since it is smaller than the sum of its proper divisors (12281950656).

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

3873461760 is a wasteful number, since it uses less digits than its factorization.

3873461760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 3873461760 is about 62237.1413225254. The cubic root of 3873461760 is about 1570.4824622421.

The spelling of 3873461760 in words is "three billion, eight hundred seventy-three million, four hundred sixty-one thousand, seven hundred sixty".