3404011074304 has 144 divisors (see below), whose sum is σ = 6977785288320. Its totient is φ = 1656915886080.

The previous prime is 3404011074283. The next prime is 3404011074307. The reversal of 3404011074304 is 4034701104043.

It is a happy number.

It is a super-3 number, since 3×3404011074304³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3404011074307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 450202684 + ... + 450210244.

It is an arithmetic number, because the mean of its divisors is an integer number (48456842280).

Almost surely, 2^{3404011074304} 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 3404011074304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3488892644160).

3404011074304 is an abundant number, since it is smaller than the sum of its proper divisors (3573774214016).

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

3404011074304 is a wasteful number, since it uses less digits than its factorization.

3404011074304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7966 (or 7952 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

Adding to 3404011074304 its reverse (4034701104043), we get a palindrome (7438712178347).

The spelling of 3404011074304 in words is "three trillion, four hundred four billion, eleven million, seventy-four thousand, three hundred four".