34880287680 has 672 divisors, whose sum is σ = 140814820224. Its totient is φ = 7760904192.

The previous prime is 34880287657. The next prime is 34880287709. The reversal of 34880287680 is 8678208843.

34880287680 is a `hidden beast` number, since 3 + 488 + 0 + 2 + 87 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 201620074 + ... + 201620246.

Almost surely, 2^34880287680 is an apocalyptic number.

34880287680 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 34880287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70407410112).

34880287680 is an abundant number, since it is smaller than the sum of its proper divisors (105934532544).

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

34880287680 is a wasteful number, since it uses less digits than its factorization.

34880287680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 34880287680 in words is "thirty-four billion, eight hundred eighty million, two hundred eighty-seven thousand, six hundred eighty".