5346641300 has 288 divisors, whose sum is σ = 16089636864. Its totient is φ = 1487808000.

The previous prime is 5346641281. The next prime is 5346641309. The reversal of 5346641300 is 31466435.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5346641309) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3102239 + ... + 3103961.

Almost surely, 2^5346641300 is an apocalyptic number.

5346641300 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 5346641300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8044818432).

5346641300 is an abundant number, since it is smaller than the sum of its proper divisors (10742995564).

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

5346641300 is a wasteful number, since it uses less digits than its factorization.

5346641300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 5346641300 is about 73120.7309864993. The cubic root of 5346641300 is about 1748.6129199146.

It can be divided in two parts, 5346 and 641300, that added together give a palindrome (646646).

The spelling of 5346641300 in words is "five billion, three hundred forty-six million, six hundred forty-one thousand, three hundred".