3769416 has 96 divisors (see below), whose sum is σ = 12143040. Its totient is φ = 1073088.

The previous prime is 3769411. The next prime is 3769433. The reversal of 3769416 is 6149673.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3769411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13470 + ... + 13746.

It is an arithmetic number, because the mean of its divisors is an integer number (126490).

Almost surely, 2^3769416 is an apocalyptic number.

3769416 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 3769416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6071520).

3769416 is an abundant number, since it is smaller than the sum of its proper divisors (8373624).

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

3769416 is a wasteful number, since it uses less digits than its factorization.

3769416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 289 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 3769416 is about 1941.4983904191. The cubic root of 3769416 is about 155.6292973120.

The spelling of 3769416 in words is "three million, seven hundred sixty-nine thousand, four hundred sixteen".