34994868480 has 1152 divisors, whose sum is σ = 149416727040. Its totient is φ = 7644119040.

The previous prime is 34994868473. The next prime is 34994868481. The reversal of 34994868480 is 8486849943.

34994868480 is a `hidden beast` number, since 3 + 4 + 9 + 94 + 8 + 68 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (34994868481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 360771792 + ... + 360771888.

It is an arithmetic number, because the mean of its divisors is an integer number (129702020).

Almost surely, 2^34994868480 is an apocalyptic number.

34994868480 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 34994868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74708363520).

34994868480 is an abundant number, since it is smaller than the sum of its proper divisors (114421858560).

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

34994868480 is a wasteful number, since it uses less digits than its factorization.

34994868480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 34994868480 in words is "thirty-four billion, nine hundred ninety-four million, eight hundred sixty-eight thousand, four hundred eighty".