3455407008 has 72 divisors (see below), whose sum is σ = 9886732128. Its totient is φ = 1144720512.

The previous prime is 3455407003. The next prime is 3455407019. The reversal of 3455407008 is 8007045543.

3455407008 is a `hidden beast` number, since 3 + 45 + 540 + 70 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (3455407003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10141 + ... + 83747.

It is an arithmetic number, because the mean of its divisors is an integer number (137315724).

Almost surely, 2^3455407008 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 3455407008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4943366064).

3455407008 is an abundant number, since it is smaller than the sum of its proper divisors (6431325120).

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

3455407008 is a wasteful number, since it uses less digits than its factorization.

3455407008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73786 (or 73775 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 3455407008 is about 58782.7101110522. The cubic root of 3455407008 is about 1511.8187823462.

The spelling of 3455407008 in words is "three billion, four hundred fifty-five million, four hundred seven thousand, eight".