350387997696 has 1056 divisors, whose sum is σ = 1239635033280. Its totient is φ = 97320960000.

The previous prime is 350387997683. The next prime is 350387997793. The reversal of 350387997696 is 696799783053.

350387997696 is a `hidden beast` number, since 3 + 5 + 0 + 387 + 99 + 76 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3469188046 + ... + 3469188146.

Almost surely, 2^350387997696 is an apocalyptic number.

350387997696 is a gapful number since it is divisible by the number (36) 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 350387997696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619817516640).

350387997696 is an abundant number, since it is smaller than the sum of its proper divisors (889247035584).

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

350387997696 is a wasteful number, since it uses less digits than its factorization.

350387997696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 462944160, while the sum is 72.

The spelling of 350387997696 in words is "three hundred fifty billion, three hundred eighty-seven million, nine hundred ninety-seven thousand, six hundred ninety-six".