351376272 has 320 divisors, whose sum is σ = 1187424000. Its totient is φ = 98537472.

The previous prime is 351376261. The next prime is 351376301. The reversal of 351376272 is 272673153.

351376272 is a `hidden beast` number, since 3 + 513 + 76 + 2 + 72 = 666.

351376272 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 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, 3948004 + ... + 3948092.

It is an arithmetic number, because the mean of its divisors is an integer number (3710700).

Almost surely, 2^351376272 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 351376272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593712000).

351376272 is an abundant number, since it is smaller than the sum of its proper divisors (836047728).

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

351376272 is a wasteful number, since it uses less digits than its factorization.

351376272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 163 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 351376272 is about 18745.0332621737. The cubic root of 351376272 is about 705.6523793778.

The spelling of 351376272 in words is "three hundred fifty-one million, three hundred seventy-six thousand, two hundred seventy-two".