3465121792804 has 96 divisors (see below), whose sum is σ = 7103018926080. Its totient is φ = 1448381720448.

The previous prime is 3465121792801. The next prime is 3465121792807. The reversal of 3465121792804 is 4082971215643.

It is an interprime number because it is at equal distance from previous prime (3465121792801) and next prime (3465121792807).

It is not an unprimeable number, because it can be changed into a prime (3465121792801) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237932827 + ... + 237947389.

It is an arithmetic number, because the mean of its divisors is an integer number (73989780480).

It is a 1-persistent number, because it is pandigital, but 2⋅3465121792804 = 6930243585608 is not.

Almost surely, 2^{3465121792804} 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 3465121792804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3551509463040).

3465121792804 is an abundant number, since it is smaller than the sum of its proper divisors (3637897133276).

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

3465121792804 is a wasteful number, since it uses less digits than its factorization.

3465121792804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15569 (or 15567 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 3465121792804 in words is "three trillion, four hundred sixty-five billion, one hundred twenty-one million, seven hundred ninety-two thousand, eight hundred four".