3761560 has 64 divisors (see below), whose sum is σ = 9434880. Its totient is φ = 1338240.

The previous prime is 3761557. The next prime is 3761591. The reversal of 3761560 is 651673.

3761560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36469 + ... + 36571.

It is an arithmetic number, because the mean of its divisors is an integer number (147420).

Almost surely, 2^3761560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3761560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717440).

3761560 is an abundant number, since it is smaller than the sum of its proper divisors (5673320).

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

3761560 is a wasteful number, since it uses less digits than its factorization.

3761560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 3761560 is about 1939.4741555380. The cubic root of 3761560 is about 155.5211042375.

It can be divided in two parts, 37615 and 60, that added together give a triangular number (37675 = T₂₇₄).

The spelling of 3761560 in words is "three million, seven hundred sixty-one thousand, five hundred sixty".