3740880 has 160 divisors (see below), whose sum is σ = 13749120. Its totient is φ = 829440.

The previous prime is 3740879. The next prime is 3740897. The reversal of 3740880 is 880473.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34266 + ... + 34374.

It is an arithmetic number, because the mean of its divisors is an integer number (85932).

Almost surely, 2^3740880 is an apocalyptic number.

3740880 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 3740880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6874560).

3740880 is an abundant number, since it is smaller than the sum of its proper divisors (10008240).

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

3740880 is a wasteful number, since it uses less digits than its factorization.

3740880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 3740880 is about 1934.1354657831. The cubic root of 3740880 is about 155.2355765680.

The spelling of 3740880 in words is "three million, seven hundred forty thousand, eight hundred eighty".