34163438400 has 1512 divisors, whose sum is σ = 159769885184. Its totient is φ = 6735052800.

The previous prime is 34163438399. The next prime is 34163438417. The reversal of 34163438400 is 483436143.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1102046385 + ... + 1102046415.

Almost surely, 2^34163438400 is an apocalyptic number.

34163438400 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 34163438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79884942592).

34163438400 is an abundant number, since it is smaller than the sum of its proper divisors (125606446784).

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

34163438400 is a wasteful number, since it uses less digits than its factorization.

34163438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 34163438400 in words is "thirty-four billion, one hundred sixty-three million, four hundred thirty-eight thousand, four hundred".