34533206400 has 1152 divisors, whose sum is σ = 148570490880. Its totient is φ = 6893568000.

The previous prime is 34533206399. The next prime is 34533206423. The reversal of 34533206400 is 460233543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 252067132 + ... + 252067268.

It is an arithmetic number, because the mean of its divisors is an integer number (128967440).

Almost surely, 2^34533206400 is an apocalyptic number.

34533206400 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 34533206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74285245440).

34533206400 is an abundant number, since it is smaller than the sum of its proper divisors (114037284480).

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

34533206400 is a wasteful number, since it uses less digits than its factorization.

34533206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 34533206400 its reverse (460233543), we get a palindrome (34993439943).

The spelling of 34533206400 in words is "thirty-four billion, five hundred thirty-three million, two hundred six thousand, four hundred".