3790080 has 216 divisors, whose sum is σ = 15305472. Its totient is φ = 847872.

The previous prime is 3790069. The next prime is 3790103. The reversal of 3790080 is 800973.

It is a happy number.

3790080 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3790080³ (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80617 + ... + 80663.

Almost surely, 2^3790080 is an apocalyptic number.

3790080 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 3790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7652736).

3790080 is an abundant number, since it is smaller than the sum of its proper divisors (11515392).

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

3790080 is a wasteful number, since it uses less digits than its factorization.

3790080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 3790080 is about 1946.8127799046. The cubic root of 3790080 is about 155.9131666656.

The spelling of 3790080 in words is "three million, seven hundred ninety thousand, eighty".