351693648 has 120 divisors (see below), whose sum is σ = 1043028480. Its totient is φ = 110315520.

The previous prime is 351693599. The next prime is 351693649. The reversal of 351693648 is 846396153.

351693648 is a `hidden beast` number, since 3 + 516 + 93 + 6 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351693649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 522240 + ... + 522912.

It is an arithmetic number, because the mean of its divisors is an integer number (8691904).

Almost surely, 2^351693648 is an apocalyptic number.

351693648 is a gapful number since it is divisible by the number (38) 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 351693648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521514240).

351693648 is an abundant number, since it is smaller than the sum of its proper divisors (691334832).

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

351693648 is a wasteful number, since it uses less digits than its factorization.

351693648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 888 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 351693648 is about 18753.4969539017. The cubic root of 351693648 is about 705.8647725229.

The spelling of 351693648 in words is "three hundred fifty-one million, six hundred ninety-three thousand, six hundred forty-eight".