34651068480 has 336 divisors, whose sum is σ = 137942238720. Its totient is φ = 7819628544.

The previous prime is 34651068479. The next prime is 34651068521. The reversal of 34651068480 is 8486015643.

34651068480 is a `hidden beast` number, since 3 + 4 + 65 + 106 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1581762 + ... + 1603518.

Almost surely, 2^34651068480 is an apocalyptic number.

34651068480 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 34651068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68971119360).

34651068480 is an abundant number, since it is smaller than the sum of its proper divisors (103291170240).

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

34651068480 is a wasteful number, since it uses less digits than its factorization.

34651068480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21866 (or 21853 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 34651068480 in words is "thirty-four billion, six hundred fifty-one million, sixty-eight thousand, four hundred eighty".