5346894600 has 144 divisors (see below), whose sum is σ = 17988106500. Its totient is φ = 1423342080.

The previous prime is 5346894593. The next prime is 5346894607. The reversal of 5346894600 is 64986435.

5346894600 is a `hidden beast` number, since 5 + 34 + 6 + 8 + 9 + 4 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (5346894593) and next prime (5346894607).

It can be written as a sum of positive squares in 6 ways, for example, as 1830641796 + 3516252804 = 42786^2 + 59298^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5346894607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1173126 + ... + 1177674.

Almost surely, 2^5346894600 is an apocalyptic number.

5346894600 is a gapful number since it is divisible by the number (50) 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 5346894600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8994053250).

5346894600 is an abundant number, since it is smaller than the sum of its proper divisors (12641211900).

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

5346894600 is a wasteful number, since it uses less digits than its factorization.

5346894600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5224 (or 5212 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 5346894600 is about 73122.4630329149. The cubic root of 5346894600 is about 1748.6405333036.

The spelling of 5346894600 in words is "five billion, three hundred forty-six million, eight hundred ninety-four thousand, six hundred".