537600384 has 192 divisors, whose sum is σ = 1660735440. Its totient is φ = 166330368.

The previous prime is 537600373. The next prime is 537600407. The reversal of 537600384 is 483006735.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1899507 + ... + 1899789.

Almost surely, 2^537600384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 537600384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830367720).

537600384 is an abundant number, since it is smaller than the sum of its proper divisors (1123135056).

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

537600384 is a wasteful number, since it uses less digits than its factorization.

537600384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 402 counting only the distinct ones).

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

The square root of 537600384 is about 23186.2110746883. The cubic root of 537600384 is about 813.1172790511.

The spelling of 537600384 in words is "five hundred thirty-seven million, six hundred thousand, three hundred eighty-four".