34783198956 has 144 divisors (see below), whose sum is σ = 101655872640. Its totient is φ = 10200016800.

The previous prime is 34783198943. The next prime is 34783198963. The reversal of 34783198956 is 65989138743.

34783198956 is a `hidden beast` number, since 3 + 478 + 31 + 9 + 89 + 56 = 666.

It is a super-2 number, since 2×34783198956² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34783198893 and 34783198902.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1126435 + ... + 1156901.

It is an arithmetic number, because the mean of its divisors is an integer number (705943560).

Almost surely, 2^34783198956 is an apocalyptic number.

34783198956 is a gapful number since it is divisible by the number (36) 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 34783198956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50827936320).

34783198956 is an abundant number, since it is smaller than the sum of its proper divisors (66872673684).

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

34783198956 is a wasteful number, since it uses less digits than its factorization.

34783198956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30553 (or 30514 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 34783198956 in words is "thirty-four billion, seven hundred eighty-three million, one hundred ninety-eight thousand, nine hundred fifty-six".