3465972 has 36 divisors (see below), whose sum is σ = 8968960. Its totient is φ = 1127952.

The previous prime is 3465971. The next prime is 3465989. The reversal of 3465972 is 2795643.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3465971) 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, 429 + ... + 2667.

Almost surely, 2^3465972 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 3465972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4484480).

3465972 is an abundant number, since it is smaller than the sum of its proper divisors (5502988).

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

3465972 is a wasteful number, since it uses less digits than its factorization.

3465972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292 (or 2287 counting only the distinct ones).

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

The square root of 3465972 is about 1861.7121152316. The cubic root of 3465972 is about 151.3358022372.

The spelling of 3465972 in words is "three million, four hundred sixty-five thousand, nine hundred seventy-two".