351423072 has 576 divisors, whose sum is σ = 1426553856. Its totient is φ = 79073280.

The previous prime is 351423071. The next prime is 351423103. The reversal of 351423072 is 270324153.

351423072 is a `hidden beast` number, since 351 + 4 + 2 + 307 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351423071) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6630598 + ... + 6630650.

It is an arithmetic number, because the mean of its divisors is an integer number (2476656).

Almost surely, 2^351423072 is an apocalyptic number.

351423072 is a gapful number since it is divisible by the number (32) 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 351423072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713276928).

351423072 is an abundant number, since it is smaller than the sum of its proper divisors (1075130784).

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

351423072 is a wasteful number, since it uses less digits than its factorization.

351423072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 351423072 is about 18746.2815512837. The cubic root of 351423072 is about 705.6837067306.

The spelling of 351423072 in words is "three hundred fifty-one million, four hundred twenty-three thousand, seventy-two".