3468736416 has 24 divisors (see below), whose sum is σ = 9105433344. Its totient is φ = 1156245440.

The previous prime is 3468736373. The next prime is 3468736471. The reversal of 3468736416 is 6146378643.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18066240 + ... + 18066431.

It is an arithmetic number, because the mean of its divisors is an integer number (379393056).

Almost surely, 2^3468736416 is an apocalyptic number.

It is an amenable number.

3468736416 is an abundant number, since it is smaller than the sum of its proper divisors (5636696928).

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

3468736416 is a wasteful number, since it uses less digits than its factorization.

3468736416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36132684 (or 36132676 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 48.

The square root of 3468736416 is about 58895.9796250984. The cubic root of 3468736416 is about 1513.7602606063.

The spelling of 3468736416 in words is "three billion, four hundred sixty-eight million, seven hundred thirty-six thousand, four hundred sixteen".