3422408135328 has 864 divisors, whose sum is σ = 12922035235200. Its totient is φ = 871420612608.

The previous prime is 3422408135287. The next prime is 3422408135347. The reversal of 3422408135328 is 8235318042243.

3422408135328 is a `hidden beast` number, since 3 + 4 + 2 + 240 + 81 + 3 + 5 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 266764818 + ... + 266777646.

It is an arithmetic number, because the mean of its divisors is an integer number (14956059300).

Almost surely, 2^{3422408135328} 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 3422408135328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6461017617600).

3422408135328 is an abundant number, since it is smaller than the sum of its proper divisors (9499627099872).

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

3422408135328 is a wasteful number, since it uses less digits than its factorization.

3422408135328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12916 (or 12883 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 3422408135328 in words is "three trillion, four hundred twenty-two billion, four hundred eight million, one hundred thirty-five thousand, three hundred twenty-eight".