3451680 has 192 divisors, whose sum is σ = 13063680. Its totient is φ = 847872.

The previous prime is 3451661. The next prime is 3451681. The reversal of 3451680 is 861543.

3451680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3451681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73417 + ... + 73463.

It is an arithmetic number, because the mean of its divisors is an integer number (68040).

Almost surely, 2^3451680 is an apocalyptic number.

3451680 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 3451680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531840).

3451680 is an abundant number, since it is smaller than the sum of its proper divisors (9612000).

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

3451680 is a wasteful number, since it uses less digits than its factorization.

3451680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3451680 is about 1857.8697478564. The cubic root of 3451680 is about 151.1275036683.

It can be divided in two parts, 34516 and 80, that added together give a square (34596 = 186²).

The spelling of 3451680 in words is "three million, four hundred fifty-one thousand, six hundred eighty".