3786540 has 48 divisors (see below), whose sum is σ = 10687488. Its totient is φ = 1001664.

The previous prime is 3786539. The next prime is 3786553. The reversal of 3786540 is 456873.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13239 + ... + 13521.

It is an arithmetic number, because the mean of its divisors is an integer number (222656).

Almost surely, 2^3786540 is an apocalyptic number.

3786540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3786540 is an abundant number, since it is smaller than the sum of its proper divisors (6900948).

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

3786540 is a wasteful number, since it uses less digits than its factorization.

3786540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 3786540 is about 1945.9033891743. The cubic root of 3786540 is about 155.8646096837.

The spelling of 3786540 in words is "three million, seven hundred eighty-six thousand, five hundred forty".