3456972 has 24 divisors (see below), whose sum is σ = 8962800. Its totient is φ = 1152288.

The previous prime is 3456953. The next prime is 3456977. The reversal of 3456972 is 2796543.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 3¹² + 4⁶ + 5 + 6 + 9³ + 7⁷ + 2²¹ .

It is not an unprimeable number, because it can be changed into a prime (3456977) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15897 + ... + 16112.

It is an arithmetic number, because the mean of its divisors is an integer number (373450).

Almost surely, 2^3456972 is an apocalyptic number.

It is an amenable number.

3456972 is an abundant number, since it is smaller than the sum of its proper divisors (5505828).

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

3456972 is a wasteful number, since it uses less digits than its factorization.

3456972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32022 (or 32014 counting only the distinct ones).

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

The square root of 3456972 is about 1859.2934141765. The cubic root of 3456972 is about 151.2046987706.

The spelling of 3456972 in words is "three million, four hundred fifty-six thousand, nine hundred seventy-two".