5742349200 has 450 divisors, whose sum is σ = 23980165506. Its totient is φ = 1312174080.

The previous prime is 5742349181. The next prime is 5742349231. The reversal of 5742349200 is 29432475.

5742349200 is a `hidden beast` number, since 574 + 23 + 49 + 20 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 65028096 + 5677321104 = 8064^2 + 75348^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1585792 + ... + 1589408.

Almost surely, 2^5742349200 is an apocalyptic number.

5742349200 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 5742349200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11990082753).

5742349200 is an abundant number, since it is smaller than the sum of its proper divisors (18237816306).

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

5742349200 is a wasteful number, since it uses less digits than its factorization.

5742349200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3661 (or 3634 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 5742349200 is about 75778.2897669247. The cubic root of 5742349200 is about 1790.7289978248.

The spelling of 5742349200 in words is "five billion, seven hundred forty-two million, three hundred forty-nine thousand, two hundred".