3426129158400 has 972 divisors, whose sum is σ = 13389743066700. Its totient is φ = 835358883840.

The previous prime is 3426129158393. The next prime is 3426129158407. The reversal of 3426129158400 is 48519216243.

3426129158400 is a `hidden beast` number, since 3 + 4 + 2 + 61 + 2 + 9 + 1 + 584 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3426129158393) and next prime (3426129158407).

It can be written as a sum of positive squares in 18 ways, for example, as 3213615534336 + 212513624064 = 1792656^2 + 460992^2 .

It is a super-2 number, since 2×3426129158400² (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 (3426129158407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1061047986 + ... + 1061051214.

Almost surely, 2^{3426129158400} is an apocalyptic number.

3426129158400 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 3426129158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6694871533350).

3426129158400 is an abundant number, since it is smaller than the sum of its proper divisors (9963613908300).

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

3426129158400 is a wasteful number, since it uses less digits than its factorization.

3426129158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3396 (or 3361 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 3426129158400 in words is "three trillion, four hundred twenty-six billion, one hundred twenty-nine million, one hundred fifty-eight thousand, four hundred".