3453907968 has 264 divisors, whose sum is σ = 11713949312. Its totient is φ = 959496192.

The previous prime is 3453907957. The next prime is 3453907973. The reversal of 3453907968 is 8697093543.

3453907968 is a `hidden beast` number, since 34 + 539 + 0 + 79 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2386221 + ... + 2387667.

Almost surely, 2^3453907968 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 3453907968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5856974656).

3453907968 is an abundant number, since it is smaller than the sum of its proper divisors (8260041344).

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

3453907968 is a wasteful number, since it uses less digits than its factorization.

3453907968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 3453907968 is about 58769.9580398013. The cubic root of 3453907968 is about 1511.6001294135.

The spelling of 3453907968 in words is "three billion, four hundred fifty-three million, nine hundred seven thousand, nine hundred sixty-eight".