34561769472 has 180 divisors, whose sum is σ = 103551846216. Its totient is φ = 11519262720.

The previous prime is 34561769453. The next prime is 34561769497. The reversal of 34561769472 is 27496716543.

34561769472 is a `hidden beast` number, since 3 + 4 + 561 + 7 + 6 + 9 + 4 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3976972 + ... + 3985652.

Almost surely, 2^34561769472 is an apocalyptic number.

34561769472 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 34561769472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51775923108).

34561769472 is an abundant number, since it is smaller than the sum of its proper divisors (68990076744).

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

34561769472 is an frugal number, since it uses more digits than its factorization.

34561769472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8724 (or 8686 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 34561769472 in words is "thirty-four billion, five hundred sixty-one million, seven hundred sixty-nine thousand, four hundred seventy-two".