3402672 has 160 divisors (see below), whose sum is σ = 11665920. Its totient is φ = 829440.

The previous prime is 3402671. The next prime is 3402673. The reversal of 3402672 is 2762043.

It is an interprime number because it is at equal distance from previous prime (3402671) and next prime (3402673).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3402671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82972 + ... + 83012.

It is an arithmetic number, because the mean of its divisors is an integer number (72912).

Almost surely, 2^3402672 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 3402672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5832960).

3402672 is an abundant number, since it is smaller than the sum of its proper divisors (8263248).

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

3402672 is a wasteful number, since it uses less digits than its factorization.

3402672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 3402672 is about 1844.6332968913. The cubic root of 3402672 is about 150.4088402077.

3402672 divided by its sum of digits (24) gives a triangular number (141778 = T₅₃₂).

It can be divided in two parts, 3402 and 672, that multiplied together give a square (2286144 = 1512²).

The spelling of 3402672 in words is "three million, four hundred two thousand, six hundred seventy-two".