3404953902336 has 576 divisors, whose sum is σ = 10975181930496. Its totient is φ = 916754227200.

The previous prime is 3404953902313. The next prime is 3404953902379. The reversal of 3404953902336 is 6332093594043.

It is a super-2 number, since 2×3404953902336² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 982102075 + ... + 982105541.

It is an arithmetic number, because the mean of its divisors is an integer number (19054135296).

Almost surely, 2^{3404953902336} 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 3404953902336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5487590965248).

3404953902336 is an abundant number, since it is smaller than the sum of its proper divisors (7570228028160).

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

3404953902336 is a wasteful number, since it uses less digits than its factorization.

3404953902336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3678 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 51.

The spelling of 3404953902336 in words is "three trillion, four hundred four billion, nine hundred fifty-three million, nine hundred two thousand, three hundred thirty-six".