351772128 has 144 divisors (see below), whose sum is σ = 1058908032. Its totient is φ = 110707200.

The previous prime is 351772123. The next prime is 351772147. The reversal of 351772128 is 821277153.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 351772092 and 351772101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351772123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8579788 + ... + 8579828.

It is an arithmetic number, because the mean of its divisors is an integer number (7353528).

Almost surely, 2^351772128 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 351772128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529454016).

351772128 is an abundant number, since it is smaller than the sum of its proper divisors (707135904).

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

351772128 is an equidigital number, since it uses as much as digits as its factorization.

351772128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 77 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 351772128 is about 18755.5892469418. The cubic root of 351772128 is about 705.9172728999.

The spelling of 351772128 in words is "three hundred fifty-one million, seven hundred seventy-two thousand, one hundred twenty-eight".