5434963200 has 324 divisors, whose sum is σ = 19587523228. Its totient is φ = 1437696000.

The previous prime is 5434963169. The next prime is 5434963207. The reversal of 5434963200 is 23694345.

5434963200 is a `hidden beast` number, since 54 + 349 + 63 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 20358144 + 5414605056 = 4512^2 + 73584^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5434963207) 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, 9042900 + ... + 9043500.

Almost surely, 2^5434963200 is an apocalyptic number.

5434963200 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 5434963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9793761614).

5434963200 is an abundant number, since it is smaller than the sum of its proper divisors (14152560028).

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

5434963200 is a wasteful number, since it uses less digits than its factorization.

5434963200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 5434963200 is about 73722.2028970920. The cubic root of 5434963200 is about 1758.1889083226.

The spelling of 5434963200 in words is "five billion, four hundred thirty-four million, nine hundred sixty-three thousand, two hundred".