34104470400 has 1728 divisors, whose sum is σ = 167293198800. Its totient is φ = 6541516800.

The previous prime is 34104470353. The next prime is 34104470443. The reversal of 34104470400 is 407440143.

It is a super-2 number, since 2×34104470400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 2623420794 + ... + 2623420806.

Almost surely, 2^34104470400 is an apocalyptic number.

34104470400 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 34104470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83646599400).

34104470400 is an abundant number, since it is smaller than the sum of its proper divisors (133188728400).

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

34104470400 is a wasteful number, since it uses less digits than its factorization.

34104470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 34104470400 in words is "thirty-four billion, one hundred four million, four hundred seventy thousand, four hundred".