5349427200 has 864 divisors, whose sum is σ = 22179830400. Its totient is φ = 1220935680.

The previous prime is 5349427133. The next prime is 5349427201. The reversal of 5349427200 is 27249435.

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 (5349427201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 113817577 + ... + 113817623.

It is an arithmetic number, because the mean of its divisors is an integer number (25671100).

Almost surely, 2^5349427200 is an apocalyptic number.

5349427200 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 5349427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11089915200).

5349427200 is an abundant number, since it is smaller than the sum of its proper divisors (16830403200).

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

5349427200 is a wasteful number, since it uses less digits than its factorization.

5349427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 5349427200 is about 73139.7785066375. The cubic root of 5349427200 is about 1748.9165756493.

The spelling of 5349427200 in words is "five billion, three hundred forty-nine million, four hundred twenty-seven thousand, two hundred".