3701280 has 96 divisors (see below), whose sum is σ = 12737088. Its totient is φ = 896000.

The previous prime is 3701273. The next prime is 3701287. The reversal of 3701280 is 821073.

It is an interprime number because it is at equal distance from previous prime (3701273) and next prime (3701287).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3701287) 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, 4930 + ... + 5630.

It is an arithmetic number, because the mean of its divisors is an integer number (132678).

Almost surely, 2^3701280 is an apocalyptic number.

3701280 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 3701280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6368544).

3701280 is an abundant number, since it is smaller than the sum of its proper divisors (9035808).

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

3701280 is a wasteful number, since it uses less digits than its factorization.

3701280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 3701280 is about 1923.8710975531. The cubic root of 3701280 is about 154.6858709144.

The spelling of 3701280 in words is "three million, seven hundred one thousand, two hundred eighty".