351936705120 has 1152 divisors, whose sum is σ = 1571708759040. Its totient is φ = 63919964160.

The previous prime is 351936705097. The next prime is 351936705143. The reversal of 351936705120 is 21507639153.

It is an interprime number because it is at equal distance from previous prime (351936705097) and next prime (351936705143).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent 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 191 ways as a sum of consecutive naturals, for example, 173452266 + ... + 173454294.

It is an arithmetic number, because the mean of its divisors is an integer number (1364330520).

Almost surely, 2^351936705120 is an apocalyptic number.

351936705120 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 351936705120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785854379520).

351936705120 is an abundant number, since it is smaller than the sum of its proper divisors (1219772053920).

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

351936705120 is a wasteful number, since it uses less digits than its factorization.

351936705120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 42.

The spelling of 351936705120 in words is "three hundred fifty-one billion, nine hundred thirty-six million, seven hundred five thousand, one hundred twenty".