34712762880 has 320 divisors, whose sum is σ = 121903626240. Its totient is φ = 8387444736.

The previous prime is 34712762879. The next prime is 34712762921. The reversal of 34712762880 is 8826721743.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 3350989 + ... + 3361331.

It is an arithmetic number, because the mean of its divisors is an integer number (380948832).

Almost surely, 2^34712762880 is an apocalyptic number.

34712762880 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 34712762880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60951813120).

34712762880 is an abundant number, since it is smaller than the sum of its proper divisors (87190863360).

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

34712762880 is a wasteful number, since it uses less digits than its factorization.

34712762880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10411 (or 10395 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 34712762880 in words is "thirty-four billion, seven hundred twelve million, seven hundred sixty-two thousand, eight hundred eighty".