351535680 has 448 divisors, whose sum is σ = 1360627200. Its totient is φ = 85155840.

The previous prime is 351535669. The next prime is 351535687. The reversal of 351535680 is 86535153.

351535680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (351535687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5762850 + ... + 5762910.

Almost surely, 2^351535680 is an apocalyptic number.

351535680 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 351535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680313600).

351535680 is an abundant number, since it is smaller than the sum of its proper divisors (1009091520).

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

351535680 is a wasteful number, since it uses less digits than its factorization.

351535680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 351535680 is about 18749.2847863592. The cubic root of 351535680 is about 705.7590737652.

The spelling of 351535680 in words is "three hundred fifty-one million, five hundred thirty-five thousand, six hundred eighty".