3854240 has 96 divisors (see below), whose sum is σ = 10478160. Its totient is φ = 1327104.

The previous prime is 3854237. The next prime is 3854243. The reversal of 3854240 is 424583.

It is an interprime number because it is at equal distance from previous prime (3854237) and next prime (3854243).

It can be written as a sum of positive squares in 8 ways, for example, as 1860496 + 1993744 = 1364^2 + 1412^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3854243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35306 + ... + 35414.

Almost surely, 2^3854240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3854240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5239080).

3854240 is an abundant number, since it is smaller than the sum of its proper divisors (6623920).

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

3854240 is a wasteful number, since it uses less digits than its factorization.

3854240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 3854240 is about 1963.2218417693. The cubic root of 3854240 is about 156.7880353220.

3854240 divided by its sum of digits (26) gives a triangular number (148240 = T₅₄₄).

The spelling of 3854240 in words is "three million, eight hundred fifty-four thousand, two hundred forty".