3770880 has 80 divisors (see below), whose sum is σ = 12079584. Its totient is φ = 1003520.

The previous prime is 3770869. The next prime is 3770891. The reversal of 3770880 is 880773.

It is an interprime number because it is at equal distance from previous prime (3770869) and next prime (3770891).

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7435 + ... + 7925.

Almost surely, 2^3770880 is an apocalyptic number.

3770880 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 3770880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6039792).

3770880 is an abundant number, since it is smaller than the sum of its proper divisors (8308704).

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

3770880 is an equidigital number, since it uses as much as digits as its factorization.

3770880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 3770880 is about 1941.8753822014. The cubic root of 3770880 is about 155.6494429438.

The spelling of 3770880 in words is "three million, seven hundred seventy thousand, eight hundred eighty".