34796198781072 has 60 divisors (see below), whose sum is σ = 103109324336460. Its totient is φ = 10916454518784.

The previous prime is 34796198781049. The next prime is 34796198781073. The reversal of 34796198781072 is 27018789169743.

34796198781072 is a `hidden beast` number, since 3 + 479 + 6 + 1 + 9 + 8 + 7 + 81 + 0 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25719138531216 + 9077060249856 = 5071404^2 + 3012816^2 .

It is a super-2 number, since 2×34796198781072² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (34796198781073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7107064297 + ... + 7107069192.

It is an arithmetic number, because the mean of its divisors is an integer number (1718488738941).

Almost surely, 2^{34796198781072} is an apocalyptic number.

It is an amenable number.

34796198781072 is an abundant number, since it is smaller than the sum of its proper divisors (68313125555388).

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

34796198781072 is a wasteful number, since it uses less digits than its factorization.

34796198781072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14214133520 (or 14214133511 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 72.

The spelling of 34796198781072 in words is "thirty-four trillion, seven hundred ninety-six billion, one hundred ninety-eight million, seven hundred eighty-one thousand, seventy-two".