3787980 has 96 divisors (see below), whose sum is σ = 12579840. Its totient is φ = 833280.

The previous prime is 3787969. The next prime is 3787981. The reversal of 3787980 is 897873.

3787980 is digitally balanced in base 5, 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 (42).

It is a plaindrome in base 16.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (3787981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12025 + ... + 12335.

It is an arithmetic number, because the mean of its divisors is an integer number (131040).

Almost surely, 2^3787980 is an apocalyptic number.

3787980 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 3787980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289920).

3787980 is an abundant number, since it is smaller than the sum of its proper divisors (8791860).

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

3787980 is a wasteful number, since it uses less digits than its factorization.

3787980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 3787980 is about 1946.2733620949. The cubic root of 3787980 is about 155.8843653263.

The spelling of 3787980 in words is "three million, seven hundred eighty-seven thousand, nine hundred eighty".