351936000000 has 1092 divisors, whose sum is σ = 1397571485856. Its totient is φ = 84787200000.

The previous prime is 351935999969. The next prime is 351936000001. The reversal of 351936000000 is 639153.

351936000000 is a `hidden beast` number, since 3 + 51 + 9 + 3 + 600 + 0 + 0 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (351936000001) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 7487999977 + ... + 7488000023.

It is an arithmetic number, because the mean of its divisors is an integer number (1279827368).

Almost surely, 2^351936000000 is an apocalyptic number.

351936000000 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 351936000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698785742928).

351936000000 is an abundant number, since it is smaller than the sum of its proper divisors (1045635485856).

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

351936000000 is an frugal number, since it uses more digits than its factorization.

351936000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

Adding to 351936000000 its reverse (639153), we get a palindrome (351936639153).

The spelling of 351936000000 in words is "three hundred fifty-one billion, nine hundred thirty-six million", and thus it is an aban number.