3427354368 has 216 divisors, whose sum is σ = 10586284800. Its totient is φ = 1063176192.

The previous prime is 3427354321. The next prime is 3427354373. The reversal of 3427354368 is 8634537243.

3427354368 is a `hidden beast` number, since 3 + 42 + 7 + 3 + 543 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2582121 + ... + 2583447.

Almost surely, 2^3427354368 is an apocalyptic number.

3427354368 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3427354368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5293142400).

3427354368 is an abundant number, since it is smaller than the sum of its proper divisors (7158930432).

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

3427354368 is a wasteful number, since it uses less digits than its factorization.

3427354368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1410 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The square root of 3427354368 is about 58543.6108213356. The cubic root of 3427354368 is about 1507.7164389777.

The spelling of 3427354368 in words is "three billion, four hundred twenty-seven million, three hundred fifty-four thousand, three hundred sixty-eight".