3404504124672 has 576 divisors, whose sum is σ = 10997334835200. Its totient is φ = 914045755392.

The previous prime is 3404504124643. The next prime is 3404504124677. The reversal of 3404504124672 is 2764214054043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3404504124677) 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, 2042293183 + ... + 2042294849.

It is an arithmetic number, because the mean of its divisors is an integer number (19092595200).

Almost surely, 2^{3404504124672} is an apocalyptic number.

3404504124672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3404504124672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5498667417600).

3404504124672 is an abundant number, since it is smaller than the sum of its proper divisors (7592830710528).

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

3404504124672 is a wasteful number, since it uses less digits than its factorization.

3404504124672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 3404504124672 in words is "three trillion, four hundred four billion, five hundred four million, one hundred twenty-four thousand, six hundred seventy-two".