5349369600 has 540 divisors, whose sum is σ = 20977032384. Its totient is φ = 1340375040.

The previous prime is 5349369587. The next prime is 5349369637. The reversal of 5349369600 is 69639435.

It is a happy number.

5349369600 is a `hidden beast` number, since 5 + 3 + 4 + 9 + 36 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8812497 + ... + 8813103.

Almost surely, 2^5349369600 is an apocalyptic number.

5349369600 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 5349369600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10488516192).

5349369600 is an abundant number, since it is smaller than the sum of its proper divisors (15627662784).

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

5349369600 is a wasteful number, since it uses less digits than its factorization.

5349369600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 5349369600 is about 73139.3847390036. The cubic root of 5349369600 is about 1748.9102984691.

It can be divided in two parts, 5349369 and 600, that added together give a square (5349969 = 2313²).

The spelling of 5349369600 in words is "five billion, three hundred forty-nine million, three hundred sixty-nine thousand, six hundred".