351396672 has 112 divisors (see below), whose sum is σ = 1019251200. Its totient is φ = 105960960.

The previous prime is 351396671. The next prime is 351396677. The reversal of 351396672 is 276693153.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351396671) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 800229 + ... + 800667.

Almost surely, 2^351396672 is an apocalyptic number.

351396672 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 351396672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509625600).

351396672 is an abundant number, since it is smaller than the sum of its proper divisors (667854528).

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

351396672 is a wasteful number, since it uses less digits than its factorization.

351396672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 834 counting only the distinct ones).

The product of its digits is 204120, while the sum is 42.

The square root of 351396672 is about 18745.5773984159. The cubic root of 351396672 is about 705.6660352325. Note that the first 3 decimals are identical.

The spelling of 351396672 in words is "three hundred fifty-one million, three hundred ninety-six thousand, six hundred seventy-two".