3451360 has 96 divisors (see below), whose sum is σ = 9307872. Its totient is φ = 1198080.

The previous prime is 3451321. The next prime is 3451363. The reversal of 3451360 is 631543.

3451360 = 61² + 62² + ... + 219².

It is a super-3 number, since 3×3451360³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3451363) 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, 65094 + ... + 65146.

It is an arithmetic number, because the mean of its divisors is an integer number (96957).

Almost surely, 2^3451360 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 3451360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4653936).

3451360 is an abundant number, since it is smaller than the sum of its proper divisors (5856512).

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

3451360 is a wasteful number, since it uses less digits than its factorization.

3451360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 3451360 is about 1857.7836257218. The cubic root of 3451360 is about 151.1228332570.

The spelling of 3451360 in words is "three million, four hundred fifty-one thousand, three hundred sixty".