3465792 has 84 divisors (see below), whose sum is σ = 10856976. Its totient is φ = 1048320.

The previous prime is 3465743. The next prime is 3465793. The reversal of 3465792 is 2975643.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (3465793) 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, 6063 + ... + 6609.

Almost surely, 2^3465792 is an apocalyptic number.

3465792 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 3465792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5428488).

3465792 is an abundant number, since it is smaller than the sum of its proper divisors (7391184).

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

3465792 is a wasteful number, since it uses less digits than its factorization.

3465792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 563 counting only the distinct ones).

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

The square root of 3465792 is about 1861.6637720061. The cubic root of 3465792 is about 151.3331823934. Note that the first 3 decimals are identical.

The spelling of 3465792 in words is "three million, four hundred sixty-five thousand, seven hundred ninety-two".