3874421760 has 352 divisors, whose sum is σ = 14120566272. Its totient is φ = 897515520.

The previous prime is 3874421753. The next prime is 3874421801. The reversal of 3874421760 is 671244783.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×3874421760² = 30022287948722995200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3885582 + ... + 3886578.

Almost surely, 2^3874421760 is an apocalyptic number.

3874421760 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 3874421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7060283136).

3874421760 is an abundant number, since it is smaller than the sum of its proper divisors (10246144512).

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

3874421760 is a wasteful number, since it uses less digits than its factorization.

3874421760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 3874421760 is about 62244.8532812151. The cubic root of 3874421760 is about 1570.6121944835.

The spelling of 3874421760 in words is "three billion, eight hundred seventy-four million, four hundred twenty-one thousand, seven hundred sixty".