3738560 has 56 divisors (see below), whose sum is σ = 10180320. Its totient is φ = 1281024.

The previous prime is 3738551. The next prime is 3738563. The reversal of 3738560 is 658373.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 3⁴ + 7³ + 3¹³ + 8⁷ + 5 + 6⁶ + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3738563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1406 + ... + 3074.

Almost surely, 2^3738560 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 3738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5090160).

3738560 is an abundant number, since it is smaller than the sum of its proper divisors (6441760).

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

3738560 is a wasteful number, since it uses less digits than its factorization.

3738560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 3738560 is about 1933.5356216010. The cubic root of 3738560 is about 155.2034788606.

The spelling of 3738560 in words is "three million, seven hundred thirty-eight thousand, five hundred sixty".