3394407413760 has 192 divisors, whose sum is σ = 11846675917440. Its totient is φ = 822886563840.

The previous prime is 3394407413689. The next prime is 3394407413767. The reversal of 3394407413760 is 673147044933.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-4 number, since 4×3394407413760⁴ (a number of 51 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3394407413767) 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, 4684582 + ... + 5360421.

It is an arithmetic number, because the mean of its divisors is an integer number (61701437070).

Almost surely, 2^{3394407413760} is an apocalyptic number.

3394407413760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3394407413760 is an abundant number, since it is smaller than the sum of its proper divisors (8452268503680).

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

3394407413760 is a wasteful number, since it uses less digits than its factorization.

3394407413760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10045044 (or 10045024 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 51.

The spelling of 3394407413760 in words is "three trillion, three hundred ninety-four billion, four hundred seven million, four hundred thirteen thousand, seven hundred sixty".