3749280 has 96 divisors (see below), whose sum is σ = 12083904. Its totient is φ = 976896.

The previous prime is 3749267. The next prime is 3749281. The reversal of 3749280 is 829473.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (3749281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34987 + ... + 35093.

It is an arithmetic number, because the mean of its divisors is an integer number (125874).

Almost surely, 2^3749280 is an apocalyptic number.

3749280 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 3749280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6041952).

3749280 is an abundant number, since it is smaller than the sum of its proper divisors (8334624).

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

3749280 is a wasteful number, since it uses less digits than its factorization.

3749280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 3749280 is about 1936.3057609789. The cubic root of 3749280 is about 155.3516815172.

The spelling of 3749280 in words is "three million, seven hundred forty-nine thousand, two hundred eighty".