351680940 has 120 divisors (see below), whose sum is σ = 1188171600. Its totient is φ = 86562432.

The previous prime is 351680873. The next prime is 351680947. The reversal of 351680940 is 49086153.

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

It is a junction number, because it is equal to n+sod(n) for n = 351680895 and 351680904.

It is not an unprimeable number, because it can be changed into a prime (351680947) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12711 + ... + 29409.

It is an arithmetic number, because the mean of its divisors is an integer number (9901430).

Almost surely, 2^351680940 is an apocalyptic number.

351680940 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 351680940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594085800).

351680940 is an abundant number, since it is smaller than the sum of its proper divisors (836490660).

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

351680940 is a wasteful number, since it uses less digits than its factorization.

351680940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16733 (or 16722 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 351680940 is about 18753.1581340317. The cubic root of 351680940 is about 705.8562705804.

The spelling of 351680940 in words is "three hundred fifty-one million, six hundred eighty thousand, nine hundred forty".