34649661696 has 216 divisors, whose sum is σ = 100365632640. Its totient is φ = 10607321088.

The previous prime is 34649661689. The next prime is 34649661703. The reversal of 34649661696 is 69616694643.

It is an interprime number because it is at equal distance from previous prime (34649661689) and next prime (34649661703).

It is a super-3 number, since 3×34649661696³ (a number of 33 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 31019730 + ... + 31020846.

Almost surely, 2^34649661696 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 34649661696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50182816320).

34649661696 is an abundant number, since it is smaller than the sum of its proper divisors (65715970944).

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

34649661696 is a wasteful number, since it uses less digits than its factorization.

34649661696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1374 counting only the distinct ones).

The product of its digits is 30233088, while the sum is 60.

The spelling of 34649661696 in words is "thirty-four billion, six hundred forty-nine million, six hundred sixty-one thousand, six hundred ninety-six".