3845640 has 64 divisors (see below), whose sum is σ = 11721600. Its totient is φ = 1009152.

The previous prime is 3845593. The next prime is 3845651. The reversal of 3845640 is 465483.

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

It is a d-powerful number, because it can be written as 3⁷ + 8⁷ + 4⁵ + 5³ + 6⁸ + 4⁸ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 3845598 and 3845607.

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, 8541 + ... + 8979.

It is an arithmetic number, because the mean of its divisors is an integer number (183150).

Almost surely, 2^3845640 is an apocalyptic number.

3845640 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 3845640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5860800).

3845640 is an abundant number, since it is smaller than the sum of its proper divisors (7875960).

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

3845640 is a wasteful number, since it uses less digits than its factorization.

3845640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 3845640 is about 1961.0303414277. The cubic root of 3845640 is about 156.6713343009.

The spelling of 3845640 in words is "three million, eight hundred forty-five thousand, six hundred forty".