351215040 has 224 divisors, whose sum is σ = 1234805760. Its totient is φ = 83865600.

The previous prime is 351215021. The next prime is 351215069. The reversal of 351215040 is 40512153.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 351214998 and 351215016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 834030 + ... + 834450.

Almost surely, 2^351215040 is an apocalyptic number.

351215040 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 351215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617402880).

351215040 is an abundant number, since it is smaller than the sum of its proper divisors (883590720).

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

351215040 is a wasteful number, since it uses less digits than its factorization.

351215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 351215040 is about 18740.7321094988. The cubic root of 351215040 is about 705.5444313271.

Adding to 351215040 its reverse (40512153), we get a palindrome (391727193).

The spelling of 351215040 in words is "three hundred fifty-one million, two hundred fifteen thousand, forty".