3451668480 has 576 divisors, whose sum is σ = 13379446080. Its totient is φ = 817496064.

The previous prime is 3451668439. The next prime is 3451668503. The reversal of 3451668480 is 848661543.

3451668480 is a `hidden beast` number, since 3 + 4 + 5 + 166 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51517407 + ... + 51517473.

It is an arithmetic number, because the mean of its divisors is an integer number (23228205).

Almost surely, 2^3451668480 is an apocalyptic number.

3451668480 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 3451668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6689723040).

3451668480 is an abundant number, since it is smaller than the sum of its proper divisors (9927777600).

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

3451668480 is a wasteful number, since it uses less digits than its factorization.

3451668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 3451668480 is about 58750.9019505233. The cubic root of 3451668480 is about 1511.2733553849.

The spelling of 3451668480 in words is "three billion, four hundred fifty-one million, six hundred sixty-eight thousand, four hundred eighty".