3429792 has 36 divisors (see below), whose sum is σ = 9754290. Its totient is φ = 1143168.

The previous prime is 3429791. The next prime is 3429799. The reversal of 3429792 is 2979243.

It can be written as a sum of positive squares in only one way, i.e., 3111696 + 318096 = 1764^2 + 564^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (3429791) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5667 + ... + 6242.

Almost surely, 2^3429792 is an apocalyptic number.

3429792 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3429792 is an abundant number, since it is smaller than the sum of its proper divisors (6324498).

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

3429792 is a wasteful number, since it uses less digits than its factorization.

3429792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11925 (or 11914 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 3429792 is about 1851.9697621722. The cubic root of 3429792 is about 150.8073797888.

The spelling of 3429792 in words is "three million, four hundred twenty-nine thousand, seven hundred ninety-two".