3781980 has 36 divisors (see below), whose sum is σ = 11472552. Its totient is φ = 1008480.

The previous prime is 3781961. The next prime is 3781993. The reversal of 3781980 is 891873.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10326 + ... + 10685.

It is an arithmetic number, because the mean of its divisors is an integer number (318682).

Almost surely, 2^3781980 is an apocalyptic number.

3781980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3781980 is an abundant number, since it is smaller than the sum of its proper divisors (7690572).

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

3781980 is a wasteful number, since it uses less digits than its factorization.

3781980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21026 (or 21021 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 3781980 is about 1944.7313439136. The cubic root of 3781980 is about 155.8020170866.

It can be divided in two parts, 3781 and 980, that added together give a square (4761 = 69²).

The spelling of 3781980 in words is "three million, seven hundred eighty-one thousand, nine hundred eighty".