34662890016 has 36 divisors (see below), whose sum is σ = 98572594302. Its totient is φ = 11554296576.

The previous prime is 34662890011. The next prime is 34662890051. The reversal of 34662890016 is 61009826643.

34662890016 is a `hidden beast` number, since 3 + 4 + 6 + 628 + 9 + 0 + 0 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33775088400 + 887801616 = 183780^2 + 29796^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×34662890016² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34662890011) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 60178341 + ... + 60178916.

Almost surely, 2^34662890016 is an apocalyptic number.

34662890016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34662890016 is an abundant number, since it is smaller than the sum of its proper divisors (63909704286).

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

34662890016 is a wasteful number, since it uses less digits than its factorization.

34662890016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120357273 (or 120357262 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 34662890016 in words is "thirty-four billion, six hundred sixty-two million, eight hundred ninety thousand, sixteen".