3761280 has 96 divisors (see below), whose sum is σ = 13008060. Its totient is φ = 1001472.

The previous prime is 3761279. The next prime is 3761293. The reversal of 3761280 is 821673.

It can be written as a sum of positive squares in 2 ways, for example, as 3594816 + 166464 = 1896^2 + 408^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5434 + ... + 6086.

Almost surely, 2^3761280 is an apocalyptic number.

3761280 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 3761280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6504030).

3761280 is an abundant number, since it is smaller than the sum of its proper divisors (9246780).

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

3761280 is a wasteful number, since it uses less digits than its factorization.

3761280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 3761280 is about 1939.4019696803. The cubic root of 3761280 is about 155.5172452898.

The spelling of 3761280 in words is "three million, seven hundred sixty-one thousand, two hundred eighty".