3434842800 has 360 divisors, whose sum is σ = 12917454480. Its totient is φ = 866764800.

The previous prime is 3434842799. The next prime is 3434842813. The reversal of 3434842800 is 82484343.

3434842800 is a `hidden beast` number, since 34 + 348 + 4 + 280 + 0 = 666.

3434842800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3898360 + ... + 3899240.

It is an arithmetic number, because the mean of its divisors is an integer number (35881818).

Almost surely, 2^3434842800 is an apocalyptic number.

3434842800 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 3434842800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6458727240).

3434842800 is an abundant number, since it is smaller than the sum of its proper divisors (9482611680).

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

3434842800 is a wasteful number, since it uses less digits than its factorization.

3434842800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 3434842800 is about 58607.5319391629. The cubic root of 3434842800 is about 1508.8137109020.

The spelling of 3434842800 in words is "three billion, four hundred thirty-four million, eight hundred forty-two thousand, eight hundred".