34382688480 has 216 divisors, whose sum is σ = 136487273832. Its totient is φ = 7858884096.

The previous prime is 34382688449. The next prime is 34382688499. The reversal of 34382688480 is 8488628343.

34382688480 is a `hidden beast` number, since 3 + 4 + 3 + 82 + 6 + 88 + 480 = 666.

It is a super-2 number, since 2×34382688480² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 173082 + ... + 314201.

It is an arithmetic number, because the mean of its divisors is an integer number (631885527).

Almost surely, 2^34382688480 is an apocalyptic number.

34382688480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34382688480 is an abundant number, since it is smaller than the sum of its proper divisors (102104585352).

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

34382688480 is a wasteful number, since it uses less digits than its factorization.

34382688480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487318 (or 487300 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 34382688480 in words is "thirty-four billion, three hundred eighty-two million, six hundred eighty-eight thousand, four hundred eighty".