3364992 has 96 divisors (see below), whose sum is σ = 10183680. Its totient is φ = 1064448.

The previous prime is 3364987. The next prime is 3365003. The reversal of 3364992 is 2994633.

It is a happy number.

3364992 is a `hidden beast` number, since 3 + 3 + 649 + 9 + 2 = 666.

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

It is a super-2 number, since 2×3364992² = 22646342320128, which contains 22 as substring.

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26433 + ... + 26559.

It is an arithmetic number, because the mean of its divisors is an integer number (106080).

Almost surely, 2^3364992 is an apocalyptic number.

3364992 is a gapful number since it is divisible by the number (32) 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 3364992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5091840).

3364992 is an abundant number, since it is smaller than the sum of its proper divisors (6818688).

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

3364992 is a wasteful number, since it uses less digits than its factorization.

3364992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 155 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 3364992 is about 1834.3914522261. The cubic root of 3364992 is about 149.8515865381.

It can be divided in two parts, 3364 and 992, that added together give a square (4356 = 66²).

The spelling of 3364992 in words is "three million, three hundred sixty-four thousand, nine hundred ninety-two".