3413700844416 has 128 divisors (see below), whose sum is σ = 10154492006400. Its totient is φ = 1128940291584.

The previous prime is 3413700844349. The next prime is 3413700844427. The reversal of 3413700844416 is 6144480073143.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×3413700844416³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3449910 + ... + 4327733.

It is an arithmetic number, because the mean of its divisors is an integer number (79331968800).

Almost surely, 2^{3413700844416} is an apocalyptic number.

3413700844416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3413700844416 is an abundant number, since it is smaller than the sum of its proper divisors (6740791161984).

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

3413700844416 is a wasteful number, since it uses less digits than its factorization.

3413700844416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7777793 (or 7777775 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 3413700844416 in words is "three trillion, four hundred thirteen billion, seven hundred million, eight hundred forty-four thousand, four hundred sixteen".