368347830480 has 1600 divisors, whose sum is σ = 1684212203520. Its totient is φ = 72559411200.

The previous prime is 368347830451. The next prime is 368347830491. The reversal of 368347830480 is 84038743863.

368347830480 is a `hidden beast` number, since 3 + 6 + 83 + 4 + 7 + 83 + 0 + 480 = 666.

It is a super-3 number, since 3×368347830480³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 454189275 + ... + 454190085.

Almost surely, 2^368347830480 is an apocalyptic number.

368347830480 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 368347830480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842106101760).

368347830480 is an abundant number, since it is smaller than the sum of its proper divisors (1315864373040).

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

368347830480 is a wasteful number, since it uses less digits than its factorization.

368347830480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 368347830480 in words is "three hundred sixty-eight billion, three hundred forty-seven million, eight hundred thirty thousand, four hundred eighty".