34954274381796 has 729 divisors, whose sum is σ = 115290455756931. Its totient is φ = 8896699627200.

The previous prime is 34954274381779. The next prime is 34954274381827. The reversal of 34954274381796 is 69718347245943.

The square root of 34954274381796 is 5912214.

It is a perfect power (a square), and thus also a powerful number.

34954274381796 is a `hidden beast` number, since 3 + 4 + 9 + 542 + 7 + 4 + 3 + 8 + 1 + 79 + 6 = 666.

It is a super-3 number, since 3×34954274381796³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 183006672061 + ... + 183006672251.

Almost surely, 2^{34954274381796} is an apocalyptic number.

34954274381796 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

34954274381796 is the 5912214-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34954274381796

34954274381796 is an abundant number, since it is smaller than the sum of its proper divisors (80336181375135).

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

34954274381796 is a wasteful number, since it uses less digits than its factorization.

34954274381796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 281 counting only the distinct ones).

The product of its digits is 1097349120, while the sum is 72.

The spelling of 34954274381796 in words is "thirty-four trillion, nine hundred fifty-four billion, two hundred seventy-four million, three hundred eighty-one thousand, seven hundred ninety-six".