368934760000 has 105 divisors (see below), whose sum is σ = 915139631109. Its totient is φ = 147525312000.

The previous prime is 368934759989. The next prime is 368934760027. The reversal of 368934760000 is 67439863.

The square root of 368934760000 is 607400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 147929467456 + 221005292544 = 384616^2 + 470112^2 .

It is a super-2 number, since 2×368934760000² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 121478482 + ... + 121481518.

Almost surely, 2^368934760000 is an apocalyptic number.

368934760000 is the 607400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368934760000

368934760000 is an abundant number, since it is smaller than the sum of its proper divisors (546204871109).

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

368934760000 is an frugal number, since it uses more digits than its factorization.

368934760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6106 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 46.

The spelling of 368934760000 in words is "three hundred sixty-eight billion, nine hundred thirty-four million, seven hundred sixty thousand".