3728760 has 128 divisors (see below), whose sum is σ = 13409280. Its totient is φ = 811008.

The previous prime is 3728759. The next prime is 3728779. The reversal of 3728760 is 678273.

It is a Cunningham number, because it is equal to 1931²-1.

It is a super-2 number, since 2×3728760² = 27807302275200, which contains 22 as substring.

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, 19224 + ... + 19416.

It is an arithmetic number, because the mean of its divisors is an integer number (104760).

Almost surely, 2^3728760 is an apocalyptic number.

3728760 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 3728760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6704640).

3728760 is an abundant number, since it is smaller than the sum of its proper divisors (9680520).

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

3728760 is a wasteful number, since it uses less digits than its factorization.

3728760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 3728760 is about 1930.9997410668. Note that the first 3 decimals coincide. The cubic root of 3728760 is about 155.0677470066.

The spelling of 3728760 in words is "three million, seven hundred twenty-eight thousand, seven hundred sixty".