3772080 has 180 divisors, whose sum is σ = 14159808. Its totient is φ = 898560.

The previous prime is 3772031. The next prime is 3772099. The reversal of 3772080 is 802773.

3772080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 121665 + ... + 121695.

Almost surely, 2^3772080 is an apocalyptic number.

3772080 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 3772080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7079904).

3772080 is an abundant number, since it is smaller than the sum of its proper divisors (10387728).

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

3772080 is a wasteful number, since it uses less digits than its factorization.

3772080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 3772080 is about 1942.1843372862. The cubic root of 3772080 is about 155.6659518686.

The spelling of 3772080 in words is "three million, seven hundred seventy-two thousand, eighty".