3404233902720 has 384 divisors, whose sum is σ = 12722021775360. Its totient is φ = 771981041664.

The previous prime is 3404233902703. The next prime is 3404233902737. The reversal of 3404233902720 is 272093324043.

It is an interprime number because it is at equal distance from previous prime (3404233902703) and next prime (3404233902737).

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11805702 + ... + 12090618.

It is an arithmetic number, because the mean of its divisors is an integer number (33130265040).

Almost surely, 2^{3404233902720} is an apocalyptic number.

3404233902720 is a gapful number since it is divisible by the number (30) 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 3404233902720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6361010887680).

3404233902720 is an abundant number, since it is smaller than the sum of its proper divisors (9317787872640).

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

3404233902720 is a wasteful number, since it uses less digits than its factorization.

3404233902720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285080 (or 285061 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 39.

The spelling of 3404233902720 in words is "three trillion, four hundred four billion, two hundred thirty-three million, nine hundred two thousand, seven hundred twenty".