3845376 has 54 divisors (see below), whose sum is σ = 11093810. Its totient is φ = 1281024.

The previous prime is 3845363. The next prime is 3845381. The reversal of 3845376 is 6735483.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3326976 + 518400 = 1824^2 + 720^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 3¹² + 8⁵ + 4⁶ + 5⁵ + 3¹³ + 7 + 6⁸ .

It is a self number, because there is not a number n which added to its sum of digits gives 3845376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1470 + ... + 3138.

Almost surely, 2^3845376 is an apocalyptic number.

3845376 is a gapful number since it is divisible by the number (36) 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 3845376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5546905).

3845376 is an abundant number, since it is smaller than the sum of its proper divisors (7248434).

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

3845376 is a wasteful number, since it uses less digits than its factorization.

3845376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1674 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 3845376 is about 1960.9630287183. The cubic root of 3845376 is about 156.6677490997.

The spelling of 3845376 in words is "three million, eight hundred forty-five thousand, three hundred seventy-six".