3786120 has 96 divisors (see below), whose sum is σ = 13267800. Its totient is φ = 930816.

The previous prime is 3786119. The next prime is 3786127. The reversal of 3786120 is 216873.

It can be written as a sum of positive squares in 4 ways, for example, as 3090564 + 695556 = 1758^2 + 834^2 .

It is not an unprimeable number, because it can be changed into a prime (3786127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4276 + ... + 5084.

Almost surely, 2^3786120 is an apocalyptic number.

3786120 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 3786120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6633900).

3786120 is an abundant number, since it is smaller than the sum of its proper divisors (9481680).

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

3786120 is a wasteful number, since it uses less digits than its factorization.

3786120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 3786120 is about 1945.7954671548. The cubic root of 3786120 is about 155.8588466779.

The spelling of 3786120 in words is "three million, seven hundred eighty-six thousand, one hundred twenty".