368346240 has 96 divisors (see below), whose sum is σ = 1271965500. Its totient is φ = 98224128.

The previous prime is 368346239. The next prime is 368346301. The reversal of 368346240 is 42643863.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 367718976 + 627264 = 19176^2 + 792^2 .

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

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

It is a junction number, because it is equal to n+sod(n) for n = 368346195 and 368346204.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 26215 + ... + 37734.

Almost surely, 2^368346240 is an apocalyptic number.

368346240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

368346240 is an abundant number, since it is smaller than the sum of its proper divisors (903619260).

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

368346240 is a wasteful number, since it uses less digits than its factorization.

368346240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63974 (or 63959 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 368346240 is about 19192.3484753690. The cubic root of 368346240 is about 716.8342491342.

The spelling of 368346240 in words is "three hundred sixty-eight million, three hundred forty-six thousand, two hundred forty".