3468720 has 80 divisors (see below), whose sum is σ = 10936800. Its totient is φ = 909312.

The previous prime is 3468709. The next prime is 3468721. The reversal of 3468720 is 278643.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3468721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23206 + ... + 23354.

It is an arithmetic number, because the mean of its divisors is an integer number (136710).

Almost surely, 2^3468720 is an apocalyptic number.

3468720 is a gapful number since it is divisible by the number (30) 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 3468720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5468400).

3468720 is an abundant number, since it is smaller than the sum of its proper divisors (7468080).

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

3468720 is a wasteful number, since it uses less digits than its factorization.

3468720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 3468720 is about 1862.4499993288. The cubic root of 3468720 is about 151.3757872616.

The spelling of 3468720 in words is "three million, four hundred sixty-eight thousand, seven hundred twenty".