5347610400 has 288 divisors, whose sum is σ = 19816731648. Its totient is φ = 1239884800.

The previous prime is 5347610383. The next prime is 5347610413. The reversal of 5347610400 is 40167435.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 602797 + ... + 611603.

It is an arithmetic number, because the mean of its divisors is an integer number (68808096).

Almost surely, 2^5347610400 is an apocalyptic number.

5347610400 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 5347610400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9908365824).

5347610400 is an abundant number, since it is smaller than the sum of its proper divisors (14469121248).

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

5347610400 is a wasteful number, since it uses less digits than its factorization.

5347610400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8864 (or 8851 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 5347610400 is about 73127.3573978986. The cubic root of 5347610400 is about 1748.7185612143.

Adding to 5347610400 its reverse (40167435), we get a palindrome (5387777835).

The spelling of 5347610400 in words is "five billion, three hundred forty-seven million, six hundred ten thousand, four hundred".