368038391040 has 504 divisors, whose sum is σ = 1399555869768. Its totient is φ = 92366438400.

The previous prime is 368038391033. The next prime is 368038391041. The reversal of 368038391040 is 40193830863.

It can be written as a sum of positive squares in 4 ways, for example, as 163850086656 + 204188304384 = 404784^2 + 451872^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368038391041) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 15851440 + ... + 15874640.

It is an arithmetic number, because the mean of its divisors is an integer number (2776896567).

Almost surely, 2^368038391040 is an apocalyptic number.

368038391040 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 368038391040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699777934884).

368038391040 is an abundant number, since it is smaller than the sum of its proper divisors (1031517478728).

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

368038391040 is an equidigital number, since it uses as much as digits as its factorization.

368038391040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23257 (or 23228 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 368038391040 in words is "three hundred sixty-eight billion, thirty-eight million, three hundred ninety-one thousand, forty".