34999111680 has 416 divisors, whose sum is σ = 124838703360. Its totient is φ = 8312586240.

The previous prime is 34999111663. The next prime is 34999111687. The reversal of 34999111680 is 8611199943.

It is a tau number, because it is divible by the number of its divisors (416).

It is a super-2 number, since 2×34999111680² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34999111687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23162125 + ... + 23163635.

Almost surely, 2^34999111680 is an apocalyptic number.

34999111680 is a gapful number since it is divisible by the number (30) 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 34999111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62419351680).

34999111680 is an abundant number, since it is smaller than the sum of its proper divisors (89839591680).

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

34999111680 is a wasteful number, since it uses less digits than its factorization.

34999111680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 51.

The spelling of 34999111680 in words is "thirty-four billion, nine hundred ninety-nine million, one hundred eleven thousand, six hundred eighty".