5346224000 has 128 divisors (see below), whose sum is σ = 14315071680. Its totient is φ = 1973913600.

The previous prime is 5346223999. The next prime is 5346224083. The reversal of 5346224000 is 4226435.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×5346224000² = 57164222116352000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195149 + ... + 220851.

Almost surely, 2^5346224000 is an apocalyptic number.

5346224000 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 5346224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7157535840).

5346224000 is an abundant number, since it is smaller than the sum of its proper divisors (8968847680).

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

5346224000 is a wasteful number, since it uses less digits than its factorization.

5346224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25745 (or 25723 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 5346224000 is about 73117.8774308992. The cubic root of 5346224000 is about 1748.5674262351.

The spelling of 5346224000 in words is "five billion, three hundred forty-six million, two hundred twenty-four thousand".