3450444480 has 392 divisors, whose sum is σ = 14085429792. Its totient is φ = 788299776.

The previous prime is 3450444467. The next prime is 3450444497. The reversal of 3450444480 is 844440543.

3450444480 is a `hidden beast` number, since 34 + 504 + 4 + 44 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1631904 + ... + 1634016.

Almost surely, 2^3450444480 is an apocalyptic number.

3450444480 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 3450444480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7042714896).

3450444480 is an abundant number, since it is smaller than the sum of its proper divisors (10634985312).

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

3450444480 is an equidigital number, since it uses as much as digits as its factorization.

3450444480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The square root of 3450444480 is about 58740.4841655225. The cubic root of 3450444480 is about 1511.0946961564.

The spelling of 3450444480 in words is "three billion, four hundred fifty million, four hundred forty-four thousand, four hundred eighty".