5349836800 has 576 divisors, whose sum is σ = 17548876800. Its totient is φ = 1567948800.

The previous prime is 5349836797. The next prime is 5349836803. The reversal of 5349836800 is 86389435.

It is an interprime number because it is at equal distance from previous prime (5349836797) and next prime (5349836803).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5349836803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90675171 + ... + 90675229.

It is an arithmetic number, because the mean of its divisors is an integer number (30466800).

Almost surely, 2^5349836800 is an apocalyptic number.

5349836800 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 5349836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8774438400).

5349836800 is an abundant number, since it is smaller than the sum of its proper divisors (12199040000).

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

5349836800 is a wasteful number, since it uses less digits than its factorization.

5349836800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The square root of 5349836800 is about 73142.5785708981. The cubic root of 5349836800 is about 1748.9612120761.

The spelling of 5349836800 in words is "five billion, three hundred forty-nine million, eight hundred thirty-six thousand, eight hundred".