351342673020 has 144 divisors (see below), whose sum is σ = 1128773475648. Its totient is φ = 88153282560.

The previous prime is 351342673001. The next prime is 351342673021. The reversal of 351342673020 is 20376243153.

351342673020 is a `hidden beast` number, since 3 + 5 + 1 + 342 + 6 + 7 + 302 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351342673021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11217622 + ... + 11248898.

It is an arithmetic number, because the mean of its divisors is an integer number (7838704692).

Almost surely, 2^351342673020 is an apocalyptic number.

351342673020 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 351342673020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564386737824).

351342673020 is an abundant number, since it is smaller than the sum of its proper divisors (777430802628).

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

351342673020 is a wasteful number, since it uses less digits than its factorization.

351342673020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34980 (or 34975 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 351342673020 in words is "three hundred fifty-one billion, three hundred forty-two million, six hundred seventy-three thousand, twenty".