351542425600 has 144 divisors (see below), whose sum is σ = 872879913360. Its totient is φ = 140412518400.

The previous prime is 351542425589. The next prime is 351542425607. The reversal of 351542425600 is 6524245153.

It is a super-3 number, since 3×351542425600³ (a number of 36 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 351542425600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351542425607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38036980 + ... + 38046220.

It is an arithmetic number, because the mean of its divisors is an integer number (6061666065).

Almost surely, 2^351542425600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351542425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436439956680).

351542425600 is an abundant number, since it is smaller than the sum of its proper divisors (521337487760).

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

351542425600 is an equidigital number, since it uses as much as digits as its factorization.

351542425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10016 (or 9991 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 351542425600 in words is "three hundred fifty-one billion, five hundred forty-two million, four hundred twenty-five thousand, six hundred".