34893200016 has 60 divisors (see below), whose sum is σ = 97831241872. Its totient is φ = 11609777088.

The previous prime is 34893199963. The next prime is 34893200039. The reversal of 34893200016 is 61000239843.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142726 + ... + 300261.

Almost surely, 2^34893200016 is an apocalyptic number.

34893200016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34893200016 is an abundant number, since it is smaller than the sum of its proper divisors (62938041856).

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

34893200016 is a wasteful number, since it uses less digits than its factorization.

34893200016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443548 (or 443539 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 34893200016 its reverse (61000239843), we get a palindrome (95893439859).

The spelling of 34893200016 in words is "thirty-four billion, eight hundred ninety-three million, two hundred thousand, sixteen".