3749580 has 72 divisors (see below), whose sum is σ = 11701872. Its totient is φ = 971136.

The previous prime is 3749569. The next prime is 3749587. The reversal of 3749580 is 859473.

3749580 is a `hidden beast` number, since 3 + 74 + 9 + 580 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3749587) 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, 6379 + ... + 6941.

It is an arithmetic number, because the mean of its divisors is an integer number (162526).

Almost surely, 2^3749580 is an apocalyptic number.

3749580 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 3749580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5850936).

3749580 is an abundant number, since it is smaller than the sum of its proper divisors (7952292).

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

3749580 is a wasteful number, since it uses less digits than its factorization.

3749580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3749580 is about 1936.3832265334. The cubic root of 3749580 is about 155.3558249138.

The spelling of 3749580 in words is "three million, seven hundred forty-nine thousand, five hundred eighty".