351087672 has 128 divisors (see below), whose sum is σ = 1028462400. Its totient is φ = 98869248.

The previous prime is 351087661. The next prime is 351087673. The reversal of 351087672 is 276780153.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 351087672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351087673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195354 + ... + 197142.

Almost surely, 2^351087672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351087672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514231200).

351087672 is an abundant number, since it is smaller than the sum of its proper divisors (677374728).

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

351087672 is a wasteful number, since it uses less digits than its factorization.

351087672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 351087672 is about 18737.3336416898. Note that the first 3 decimals coincide. The cubic root of 351087672 is about 705.4591325423.

The spelling of 351087672 in words is "three hundred fifty-one million, eighty-seven thousand, six hundred seventy-two".