3499233583104 has 336 divisors, whose sum is σ = 11724858570048. Its totient is φ = 984849186816.

The previous prime is 3499233583103. The next prime is 3499233583117. The reversal of 3499233583104 is 4013853329943.

3499233583104 is a `hidden beast` number, since 3 + 4 + 99 + 233 + 5 + 8 + 310 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (3499233583103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34527834 + ... + 34629030.

Almost surely, 2^{3499233583104} 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 3499233583104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5862429285024).

3499233583104 is an abundant number, since it is smaller than the sum of its proper divisors (8225624986944).

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

3499233583104 is a wasteful number, since it uses less digits than its factorization.

3499233583104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101303 (or 101276 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 3499233583104 in words is "three trillion, four hundred ninety-nine billion, two hundred thirty-three million, five hundred eighty-three thousand, one hundred four".