3454050600 has 1152 divisors, whose sum is σ = 16378951680. Its totient is φ = 653184000.

The previous prime is 3454050581. The next prime is 3454050601. The reversal of 3454050600 is 60504543.

3454050600 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 0 + 50 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3454050601) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 48648565 + ... + 48648635.

It is an arithmetic number, because the mean of its divisors is an integer number (14217840).

Almost surely, 2^3454050600 is an apocalyptic number.

3454050600 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 3454050600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8189475840).

3454050600 is an abundant number, since it is smaller than the sum of its proper divisors (12924901080).

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

3454050600 is a wasteful number, since it uses less digits than its factorization.

3454050600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3454050600 is about 58771.1715044034. The cubic root of 3454050600 is about 1511.6209367216.

The spelling of 3454050600 in words is "three billion, four hundred fifty-four million, fifty thousand, six hundred".