3427129094400 has 1728 divisors, whose sum is σ = 14407817840640. Its totient is φ = 789029683200.

The previous prime is 3427129094399. The next prime is 3427129094401. The reversal of 3427129094400 is 44909217243.

3427129094400 is a `hidden beast` number, since 3 + 4 + 2 + 71 + 2 + 90 + 94 + 400 = 666.

3427129094400 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 (3427129094399) and next prime (3427129094401).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×3427129094400² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3427129094401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12109996659 + ... + 12109996941.

Almost surely, 2^{3427129094400} is an apocalyptic number.

3427129094400 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 3427129094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7203908920320).

3427129094400 is an abundant number, since it is smaller than the sum of its proper divisors (10980688746240).

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

3427129094400 is a wasteful number, since it uses less digits than its factorization.

3427129094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 3427129094400 in words is "three trillion, four hundred twenty-seven billion, one hundred twenty-nine million, ninety-four thousand, four hundred".