5738409600 has 576 divisors, whose sum is σ = 24007168800. Its totient is φ = 1191321600.

The previous prime is 5738409581. The next prime is 5738409613. The reversal of 5738409600 is 69048375.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5173846 + ... + 5174954.

Almost surely, 2^5738409600 is an apocalyptic number.

5738409600 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 5738409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12003584400).

5738409600 is an abundant number, since it is smaller than the sum of its proper divisors (18268759200).

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

5738409600 is a wasteful number, since it uses less digits than its factorization.

5738409600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 5738409600 is about 75752.2910544625. The cubic root of 5738409600 is about 1790.3193878865.

The spelling of 5738409600 in words is "five billion, seven hundred thirty-eight million, four hundred nine thousand, six hundred".