351985656 has 128 divisors (see below), whose sum is σ = 1016064000. Its totient is φ = 100608000.

The previous prime is 351985651. The next prime is 351985657. The reversal of 351985656 is 656589153.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351985651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335020 + ... + 336068.

It is an arithmetic number, because the mean of its divisors is an integer number (7938000).

Almost surely, 2^351985656 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 351985656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508032000).

351985656 is an abundant number, since it is smaller than the sum of its proper divisors (664078344).

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

351985656 is a wasteful number, since it uses less digits than its factorization.

351985656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1137 counting only the distinct ones).

The product of its digits is 972000, while the sum is 48.

The square root of 351985656 is about 18761.2807665148. The cubic root of 351985656 is about 706.0600761553.

The spelling of 351985656 in words is "three hundred fifty-one million, nine hundred eighty-five thousand, six hundred fifty-six".