5346432000 has 1408 divisors, whose sum is σ = 25750932480. Its totient is φ = 1061683200.

The previous prime is 5346431953. The next prime is 5346432001. The reversal of 5346432000 is 2346435.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5346432001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 314495992 + ... + 314496008.

Almost surely, 2^5346432000 is an apocalyptic number.

5346432000 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 5346432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12875466240).

5346432000 is an abundant number, since it is smaller than the sum of its proper divisors (20404500480).

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

5346432000 is a wasteful number, since it uses less digits than its factorization.

5346432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 5346432000 is about 73119.2997778288. The cubic root of 5346432000 is about 1748.5901025083.

Adding to 5346432000 its reverse (2346435), we get a palindrome (5348778435).

The spelling of 5346432000 in words is "five billion, three hundred forty-six million, four hundred thirty-two thousand".