3874961760 has 48 divisors (see below), whose sum is σ = 12206131056. Its totient is φ = 1033323008.

The previous prime is 3874961747. The next prime is 3874961803. The reversal of 3874961760 is 671694783.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4035939 + ... + 4036898.

It is an arithmetic number, because the mean of its divisors is an integer number (254294397).

Almost surely, 2^3874961760 is an apocalyptic number.

3874961760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3874961760 is an abundant number, since it is smaller than the sum of its proper divisors (8331169296).

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

3874961760 is a wasteful number, since it uses less digits than its factorization.

3874961760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8072855 (or 8072847 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The square root of 3874961760 is about 62249.1908381145. The cubic root of 3874961760 is about 1570.6851594520.

The spelling of 3874961760 in words is "three billion, eight hundred seventy-four million, nine hundred sixty-one thousand, seven hundred sixty".