34505452800 has 1296 divisors, whose sum is σ = 157761152640. Its totient is φ = 6998261760.

The previous prime is 34505452781. The next prime is 34505452819. The reversal of 34505452800 is 825450543.

34505452800 is a `hidden beast` number, since 34 + 5 + 0 + 545 + 2 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34505452781) and next prime (34505452819).

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 (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 152006287 + ... + 152006513.

Almost surely, 2^34505452800 is an apocalyptic number.

34505452800 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 34505452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78880576320).

34505452800 is an abundant number, since it is smaller than the sum of its proper divisors (123255699840).

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

34505452800 is a wasteful number, since it uses less digits than its factorization.

34505452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 34505452800 in words is "thirty-four billion, five hundred five million, four hundred fifty-two thousand, eight hundred".