3782520 has 192 divisors, whose sum is σ = 14976000. Its totient is φ = 808704.

The previous prime is 3782509. The next prime is 3782521. The reversal of 3782520 is 252873.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3782521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47841 + ... + 47919.

It is an arithmetic number, because the mean of its divisors is an integer number (78000).

Almost surely, 2^3782520 is an apocalyptic number.

3782520 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 3782520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7488000).

3782520 is an abundant number, since it is smaller than the sum of its proper divisors (11193480).

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

3782520 is a wasteful number, since it uses less digits than its factorization.

3782520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 3782520 is about 1944.8701756158. The cubic root of 3782520 is about 155.8094319931.

The spelling of 3782520 in words is "three million, seven hundred eighty-two thousand, five hundred twenty".