3424006406400 has 108 divisors (see below), whose sum is σ = 11299934539152. Its totient is φ = 913068369920.

The previous prime is 3424006406377. The next prime is 3424006406407. The reversal of 3424006406400 is 46046004243.

It is not an unprimeable number, because it can be changed into a prime (3424006406407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89147634 + ... + 89186033.

Almost surely, 2^{3424006406400} is an apocalyptic number.

3424006406400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3424006406400 is an abundant number, since it is smaller than the sum of its proper divisors (7875928132752).

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

3424006406400 is a wasteful number, since it uses less digits than its factorization.

3424006406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178333696 (or 178333677 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

The spelling of 3424006406400 in words is "three trillion, four hundred twenty-four billion, six million, four hundred six thousand, four hundred".