368611840 has 80 divisors (see below), whose sum is σ = 892587960. Its totient is φ = 145981440.

The previous prime is 368611829. The next prime is 368611843. The reversal of 368611840 is 48116863.

It can be written as a sum of positive squares in 4 ways, for example, as 364351744 + 4260096 = 19088^2 + 2064^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 368611840.

It is not an unprimeable number, because it can be changed into a prime (368611843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 278380 + ... + 279700.

Almost surely, 2^368611840 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 368611840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446293980).

368611840 is an abundant number, since it is smaller than the sum of its proper divisors (523976120).

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

368611840 is a wasteful number, since it uses less digits than its factorization.

368611840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 368611840 is about 19199.2666526615. The cubic root of 368611840 is about 717.0065014093.

The spelling of 368611840 in words is "three hundred sixty-eight million, six hundred eleven thousand, eight hundred forty".