351786240 has 504 divisors, whose sum is σ = 1407477960. Its totient is φ = 83607552.

The previous prime is 351786209. The next prime is 351786257. The reversal of 351786240 is 42687153.

It can be written as a sum of positive squares in 4 ways, for example, as 6718464 + 345067776 = 2592^2 + 18576^2 .

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

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 351786195 and 351786204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12130546 + ... + 12130574.

It is an arithmetic number, because the mean of its divisors is an integer number (2792615).

Almost surely, 2^351786240 is an apocalyptic number.

351786240 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 351786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703738980).

351786240 is an abundant number, since it is smaller than the sum of its proper divisors (1055691720).

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

351786240 is an equidigital number, since it uses as much as digits as its factorization.

351786240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 351786240 is about 18755.9654510238. The cubic root of 351786240 is about 705.9267125064.

The spelling of 351786240 in words is "three hundred fifty-one million, seven hundred eighty-six thousand, two hundred forty".