3411422382400 has 168 divisors, whose sum is σ = 8456519149920. Its totient is φ = 1354471434240.

The previous prime is 3411422382397. The next prime is 3411422382427. The reversal of 3411422382400 is 42832241143.

It is a super-2 number, since 2×3411422382400² (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 23 ways as a sum of consecutive naturals, for example, 161232622 + ... + 161253778.

Almost surely, 2^{3411422382400} 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 3411422382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4228259574960).

3411422382400 is an abundant number, since it is smaller than the sum of its proper divisors (5045096767520).

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

3411422382400 is a wasteful number, since it uses less digits than its factorization.

3411422382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21921 (or 21906 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The spelling of 3411422382400 in words is "three trillion, four hundred eleven billion, four hundred twenty-two million, three hundred eighty-two thousand, four hundred".