368393040 has 240 divisors, whose sum is σ = 1291173312. Its totient is φ = 94058496.

The previous prime is 368393027. The next prime is 368393107. The reversal of 368393040 is 40393863.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 368392986 and 368393004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2259999 + ... + 2260161.

Almost surely, 2^368393040 is an apocalyptic number.

368393040 is a gapful number since it is divisible by the number (30) 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 368393040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645586656).

368393040 is an abundant number, since it is smaller than the sum of its proper divisors (922780272).

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

368393040 is a wasteful number, since it uses less digits than its factorization.

368393040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 368393040 is about 19193.5676725303. The cubic root of 368393040 is about 716.8646068235.

The spelling of 368393040 in words is "three hundred sixty-eight million, three hundred ninety-three thousand, forty".