34799621472 has 288 divisors, whose sum is σ = 123662972160. Its totient is φ = 9018178560.

The previous prime is 34799621453. The next prime is 34799621473. The reversal of 34799621472 is 27412699743.

34799621472 is a `hidden beast` number, since 3 + 4 + 7 + 9 + 9 + 621 + 4 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×34799621472² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34799621473) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11286043 + ... + 11289125.

It is an arithmetic number, because the mean of its divisors is an integer number (429385320).

Almost surely, 2^34799621472 is an apocalyptic number.

34799621472 is a gapful number since it is divisible by the number (32) 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 34799621472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61831486080).

34799621472 is an abundant number, since it is smaller than the sum of its proper divisors (88863350688).

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

34799621472 is a wasteful number, since it uses less digits than its factorization.

34799621472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3626 (or 3615 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 34799621472 in words is "thirty-four billion, seven hundred ninety-nine million, six hundred twenty-one thousand, four hundred seventy-two".