57344336 has 80 divisors (see below), whose sum is σ = 134348544. Its totient is φ = 23181312.

The previous prime is 57344321. The next prime is 57344351. The reversal of 57344336 is 63344375.

It is an interprime number because it is at equal distance from previous prime (57344321) and next prime (57344351).

It is a junction number, because it is equal to n+sod(n) for n = 57344296 and 57344305.

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, 290990 + ... + 291186.

Almost surely, 2^57344336 is an apocalyptic number.

57344336 is a gapful number since it is divisible by the number (56) 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 57344336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67174272).

57344336 is an abundant number, since it is smaller than the sum of its proper divisors (77004208).

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

57344336 is a wasteful number, since it uses less digits than its factorization.

57344336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 342 counting only the distinct ones).

The product of its digits is 90720, while the sum is 35.

The square root of 57344336 is about 7572.6043076342. The cubic root of 57344336 is about 385.6235154360.

The spelling of 57344336 in words is "fifty-seven million, three hundred forty-four thousand, three hundred thirty-six".