3742560 has 144 divisors (see below), whose sum is σ = 13444704. Its totient is φ = 946176.

The previous prime is 3742523. The next prime is 3742561. The reversal of 3742560 is 652473.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3742561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33064 + ... + 33176.

It is an arithmetic number, because the mean of its divisors is an integer number (93366).

Almost surely, 2^3742560 is an apocalyptic number.

3742560 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 3742560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6722352).

3742560 is an abundant number, since it is smaller than the sum of its proper divisors (9702144).

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

3742560 is a wasteful number, since it uses less digits than its factorization.

3742560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3742560 is about 1934.5697196018. The cubic root of 3742560 is about 155.2588114519.

The spelling of 3742560 in words is "three million, seven hundred forty-two thousand, five hundred sixty".