3748066560 has 288 divisors, whose sum is σ = 15201473280. Its totient is φ = 856645632.

The previous prime is 3748066549. The next prime is 3748066579. The reversal of 3748066560 is 656608473.

3748066560 is a `hidden beast` number, since 3 + 7 + 4 + 80 + 6 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 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, 234174 + ... + 249666.

Almost surely, 2^3748066560 is an apocalyptic number.

3748066560 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 3748066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7600736640).

3748066560 is an abundant number, since it is smaller than the sum of its proper divisors (11453406720).

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

3748066560 is a wasteful number, since it uses less digits than its factorization.

3748066560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15530 (or 15510 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3748066560 is about 61221.4550627474. The cubic root of 3748066560 is about 1553.3492005150.

The spelling of 3748066560 in words is "three billion, seven hundred forty-eight million, sixty-six thousand, five hundred sixty".