3483688512304 has 320 divisors, whose sum is σ = 9402550198272. Its totient is φ = 1206271180800.

The previous prime is 3483688512301. The next prime is 3483688512313. The reversal of 3483688512304 is 4032158863843.

It is not an unprimeable number, because it can be changed into a prime (3483688512301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97791904 + ... + 97827520.

Almost surely, 2^{3483688512304} 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 3483688512304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4701275099136).

3483688512304 is an abundant number, since it is smaller than the sum of its proper divisors (5918861685968).

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

3483688512304 is a wasteful number, since it uses less digits than its factorization.

3483688512304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35884 (or 35878 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 55.

The spelling of 3483688512304 in words is "three trillion, four hundred eighty-three billion, six hundred eighty-eight million, five hundred twelve thousand, three hundred four".