351843849720 has 384 divisors, whose sum is σ = 1277118835200. Its totient is φ = 83286144000.

The previous prime is 351843849713. The next prime is 351843849727. The reversal of 351843849720 is 27948348153.

It is a happy number.

351843849720 is a `hidden beast` number, since 3 + 51 + 84 + 3 + 8 + 497 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (351843849713) and next prime (351843849727).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351843849727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35274654 + ... + 35284626.

It is an arithmetic number, because the mean of its divisors is an integer number (3325830300).

Almost surely, 2^351843849720 is an apocalyptic number.

351843849720 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 351843849720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638559417600).

351843849720 is an abundant number, since it is smaller than the sum of its proper divisors (925274985480).

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

351843849720 is a wasteful number, since it uses less digits than its factorization.

351843849720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10211 (or 10204 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 351843849720 in words is "three hundred fifty-one billion, eight hundred forty-three million, eight hundred forty-nine thousand, seven hundred twenty".