3436992 has 168 divisors, whose sum is σ = 11649456. Its totient is φ = 995328.

The previous prime is 3436987. The next prime is 3437017. The reversal of 3436992 is 2996343.

It is a happy number.

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 a d-powerful number, because it can be written as 3 + 4¹⁰ + 3¹¹ + 6⁸ + 9² + 9⁶ + 2⁷ .

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202168 + ... + 202184.

It is an arithmetic number, because the mean of its divisors is an integer number (69342).

Almost surely, 2^3436992 is an apocalyptic number.

3436992 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 3436992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5824728).

3436992 is an abundant number, since it is smaller than the sum of its proper divisors (8212464).

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

3436992 is a wasteful number, since it uses less digits than its factorization.

3436992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 35 counting only the distinct ones).

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

The square root of 3436992 is about 1853.9126193001. The cubic root of 3436992 is about 150.9128336298.

The spelling of 3436992 in words is "three million, four hundred thirty-six thousand, nine hundred ninety-two".