351378000000 has 784 divisors, whose sum is σ = 1317347004930. Its totient is φ = 93312000000.

The previous prime is 351377999963. The next prime is 351378000041. The reversal of 351378000000 is 873153.

It can be written as a sum of positive squares in 7 ways, for example, as 141093389376 + 210284610624 = 375624^2 + 458568^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 97 ways as a sum of consecutive naturals, for example, 1457999880 + ... + 1458000120.

Almost surely, 2^351378000000 is an apocalyptic number.

351378000000 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 351378000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658673502465).

351378000000 is an abundant number, since it is smaller than the sum of its proper divisors (965969004930).

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

351378000000 is an frugal number, since it uses more digits than its factorization.

351378000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 351378000000 its reverse (873153), we get a palindrome (351378873153).

The spelling of 351378000000 in words is "three hundred fifty-one billion, three hundred seventy-eight million", and thus it is an aban number.