3411936 has 96 divisors (see below), whose sum is σ = 10886400. Its totient is φ = 1031040.

The previous prime is 3411929. The next prime is 3411943. The reversal of 3411936 is 6391143.

It is an interprime number because it is at equal distance from previous prime (3411929) and next prime (3411943).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

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, 9325 + ... + 9683.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

Almost surely, 2^3411936 is an apocalyptic number.

3411936 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 3411936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443200).

3411936 is an abundant number, since it is smaller than the sum of its proper divisors (7474464).

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

3411936 is a wasteful number, since it uses less digits than its factorization.

3411936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 375 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 3411936 is about 1847.1426582698. The cubic root of 3411936 is about 150.5452158634.

The spelling of 3411936 in words is "three million, four hundred eleven thousand, nine hundred thirty-six".