3427341926400 has 1728 divisors, whose sum is σ = 14632531594200. Its totient is φ = 764317532160.

The previous prime is 3427341926377. The next prime is 3427341926423. The reversal of 3427341926400 is 46291437243.

3427341926400 is a `hidden beast` number, since 3 + 4 + 27 + 34 + 192 + 6 + 400 = 666.

3427341926400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3427341926377) and next prime (3427341926423).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 19147161511 + ... + 19147161689.

Almost surely, 2^{3427341926400} is an apocalyptic number.

3427341926400 is a gapful number since it is divisible by the number (30) 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 3427341926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7316265797100).

3427341926400 is an abundant number, since it is smaller than the sum of its proper divisors (11205189667800).

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

3427341926400 is a wasteful number, since it uses less digits than its factorization.

3427341926400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 3427341926400 in words is "three trillion, four hundred twenty-seven billion, three hundred forty-one million, nine hundred twenty-six thousand, four hundred".