5743449600 has 480 divisors, whose sum is σ = 22650693120. Its totient is φ = 1254359040.

The previous prime is 5743449587. The next prime is 5743449629. The reversal of 5743449600 is 69443475.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6181936 + ... + 6182864.

It is an arithmetic number, because the mean of its divisors is an integer number (47188944).

Almost surely, 2^5743449600 is an apocalyptic number.

5743449600 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 5743449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11325346560).

5743449600 is an abundant number, since it is smaller than the sum of its proper divisors (16907243520).

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

5743449600 is a wasteful number, since it uses less digits than its factorization.

5743449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 5743449600 is about 75785.5500738762. The cubic root of 5743449600 is about 1790.8433756555.

The spelling of 5743449600 in words is "five billion, seven hundred forty-three million, four hundred forty-nine thousand, six hundred".