351984640 has 264 divisors, whose sum is σ = 1041710112. Its totient is φ = 113541120.

The previous prime is 351984623. The next prime is 351984641. The reversal of 351984640 is 46489153.

351984640 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 (40).

It is a junction number, because it is equal to n+sod(n) for n = 351984593 and 351984602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351984641) 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 23 ways as a sum of consecutive naturals, for example, 5770210 + ... + 5770270.

Almost surely, 2^351984640 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 351984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520855056).

351984640 is an abundant number, since it is smaller than the sum of its proper divisors (689725472).

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

351984640 is a wasteful number, since it uses less digits than its factorization.

351984640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 351984640 is about 18761.2536894526. The cubic root of 351984640 is about 706.0593968116.

The spelling of 351984640 in words is "three hundred fifty-one million, nine hundred eighty-four thousand, six hundred forty".