34987680000 has 1440 divisors, whose sum is σ = 160913491200. Its totient is φ = 7299072000.

The previous prime is 34987679989. The next prime is 34987680019. The reversal of 34987680000 is 8678943.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 393119956 + ... + 393120044.

It is an arithmetic number, because the mean of its divisors is an integer number (111745480).

Almost surely, 2^34987680000 is an apocalyptic number.

34987680000 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 34987680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80456745600).

34987680000 is an abundant number, since it is smaller than the sum of its proper divisors (125925811200).

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

34987680000 is an equidigital number, since it uses as much as digits as its factorization.

34987680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 34987680000 in words is "thirty-four billion, nine hundred eighty-seven million, six hundred eighty thousand".