34838772480 has 216 divisors, whose sum is σ = 122067516480. Its totient is φ = 9172500480.

The previous prime is 34838772467. The next prime is 34838772499. The reversal of 34838772480 is 8427783843.

34838772480 is a `hidden beast` number, since 3 + 4 + 83 + 87 + 7 + 2 + 480 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 890940 + ... + 929220.

Almost surely, 2^34838772480 is an apocalyptic number.

34838772480 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 34838772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61033758240).

34838772480 is an abundant number, since it is smaller than the sum of its proper divisors (87228744000).

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

34838772480 is a wasteful number, since it uses less digits than its factorization.

34838772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38387 (or 38370 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 34838772480 in words is "thirty-four billion, eight hundred thirty-eight million, seven hundred seventy-two thousand, four hundred eighty".