3731880 has 64 divisors (see below), whose sum is σ = 11327040. Its totient is φ = 983552.

The previous prime is 3731869. The next prime is 3731887. The reversal of 3731880 is 881373.

3731880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3731887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16327 + ... + 16553.

It is an arithmetic number, because the mean of its divisors is an integer number (176985).

Almost surely, 2^3731880 is an apocalyptic number.

3731880 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 3731880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5663520).

3731880 is an abundant number, since it is smaller than the sum of its proper divisors (7595160).

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

3731880 is a wasteful number, since it uses less digits than its factorization.

3731880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 3731880 is about 1931.8074438204. The cubic root of 3731880 is about 155.1109853746.

The spelling of 3731880 in words is "three million, seven hundred thirty-one thousand, eight hundred eighty".