351201600 has 252 divisors, whose sum is σ = 1292832060. Its totient is φ = 90424320.

The previous prime is 351201569. The next prime is 351201601. The reversal of 351201600 is 6102153.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 80138304 + 271063296 = 8952^2 + 16464^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351201601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12110386 + ... + 12110414.

Almost surely, 2^351201600 is an apocalyptic number.

351201600 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 351201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646416030).

351201600 is an abundant number, since it is smaller than the sum of its proper divisors (941630460).

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

351201600 is an equidigital number, since it uses as much as digits as its factorization.

351201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 351201600 is about 18740.3735288281. The cubic root of 351201600 is about 705.5354314865.

Adding to 351201600 its reverse (6102153), we get a palindrome (357303753).

The spelling of 351201600 in words is "three hundred fifty-one million, two hundred one thousand, six hundred".