368461536 has 96 divisors (see below), whose sum is σ = 1057287168. Its totient is φ = 111851520.

The previous prime is 368461507. The next prime is 368461589. The reversal of 368461536 is 635164863.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×368461536² = 271527807022958592, which contains 22 as substring.

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, 46951 + ... + 54233.

It is an arithmetic number, because the mean of its divisors is an integer number (11013408).

Almost surely, 2^368461536 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 368461536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528643584).

368461536 is an abundant number, since it is smaller than the sum of its proper divisors (688825632).

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

368461536 is a wasteful number, since it uses less digits than its factorization.

368461536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7344 (or 7336 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 368461536 is about 19195.3519373832. The cubic root of 368461536 is about 716.9090333914.

The spelling of 368461536 in words is "three hundred sixty-eight million, four hundred sixty-one thousand, five hundred thirty-six".