3456792 has 48 divisors (see below), whose sum is σ = 9598680. Its totient is φ = 1123200.

The previous prime is 3456781. The next prime is 3456793. The reversal of 3456792 is 2976543.

3456792 is a `hidden beast` number, since 3 + 4 + 567 + 92 = 666.

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 3¹³ + 4¹⁰ + 5³ + 6⁷ + 7³ + 9⁶ + 2¹¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3456793) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2367 + ... + 3537.

Almost surely, 2^3456792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3456792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4799340).

3456792 is an abundant number, since it is smaller than the sum of its proper divisors (6141888).

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

3456792 is a wasteful number, since it uses less digits than its factorization.

3456792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1217 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 3456792 is about 1859.2450080611. The cubic root of 3456792 is about 151.2020743816.

Subtracting from 3456792 its reverse (2976543), we obtain a square (480249 = 693²).

The spelling of 3456792 in words is "three million, four hundred fifty-six thousand, seven hundred ninety-two".