34684049400 has 1536 divisors, whose sum is σ = 158389862400. Its totient is φ = 6038323200.

The previous prime is 34684049369. The next prime is 34684049401. The reversal of 34684049400 is 494048643.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34684049401) 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 383 ways as a sum of consecutive naturals, for example, 439038561 + ... + 439038639.

It is an arithmetic number, because the mean of its divisors is an integer number (103118400).

Almost surely, 2^34684049400 is an apocalyptic number.

34684049400 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 34684049400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79194931200).

34684049400 is an abundant number, since it is smaller than the sum of its proper divisors (123705813000).

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

34684049400 is a wasteful number, since it uses less digits than its factorization.

34684049400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 34684049400 in words is "thirty-four billion, six hundred eighty-four million, forty-nine thousand, four hundred".