351486720 has 216 divisors, whose sum is σ = 1310212176. Its totient is φ = 86482944.

The previous prime is 351486683. The next prime is 351486739. The reversal of 351486720 is 27684153.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148587 + ... + 150933.

Almost surely, 2^351486720 is an apocalyptic number.

351486720 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 351486720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655106088).

351486720 is an abundant number, since it is smaller than the sum of its proper divisors (958725456).

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

351486720 is a wasteful number, since it uses less digits than its factorization.

351486720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2370 counting only the distinct ones).

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

The square root of 351486720 is about 18747.9790910914. The cubic root of 351486720 is about 705.7263074672.

The spelling of 351486720 in words is "three hundred fifty-one million, four hundred eighty-six thousand, seven hundred twenty".