3785340 has 96 divisors (see below), whose sum is σ = 11966976. Its totient is φ = 887040.

The previous prime is 3785323. The next prime is 3785347. The reversal of 3785340 is 435873.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3785298 and 3785307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3785347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17835 + ... + 18045.

It is an arithmetic number, because the mean of its divisors is an integer number (124656).

Almost surely, 2^3785340 is an apocalyptic number.

3785340 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 3785340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5983488).

3785340 is an abundant number, since it is smaller than the sum of its proper divisors (8181636).

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

3785340 is a wasteful number, since it uses less digits than its factorization.

3785340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 3785340 is about 1945.5950246647. The cubic root of 3785340 is about 155.8481428219.

The spelling of 3785340 in words is "three million, seven hundred eighty-five thousand, three hundred forty".