351667680 has 384 divisors, whose sum is σ = 1394039808. Its totient is φ = 72548352.

The previous prime is 351667669. The next prime is 351667703. The reversal of 351667680 is 86766153.

351667680 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 (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3625392 + ... + 3625488.

It is an arithmetic number, because the mean of its divisors is an integer number (3630312).

Almost surely, 2^351667680 is an apocalyptic number.

351667680 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 351667680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697019904).

351667680 is an abundant number, since it is smaller than the sum of its proper divisors (1042372128).

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

351667680 is a wasteful number, since it uses less digits than its factorization.

351667680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 351667680 is about 18752.8045902473. The cubic root of 351667680 is about 705.8473991189.

The spelling of 351667680 in words is "three hundred fifty-one million, six hundred sixty-seven thousand, six hundred eighty".