34989947136 has 189 divisors, whose sum is σ = 104959317729. Its totient is φ = 11636379648.

The previous prime is 34989947107. The next prime is 34989947177. The reversal of 34989947136 is 63174998943.

The square root of 34989947136 is 187056.

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

34989947136 is a `hidden beast` number, since 3 + 49 + 8 + 99 + 471 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3923769600 + 31066177536 = 62640^2 + 176256^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 80807976 + ... + 80808408.

Almost surely, 2^34989947136 is an apocalyptic number.

34989947136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

34989947136 is the 187056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34989947136

34989947136 is an abundant number, since it is smaller than the sum of its proper divisors (69969370593).

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

34989947136 is an frugal number, since it uses more digits than its factorization.

34989947136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 438 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The spelling of 34989947136 in words is "thirty-four billion, nine hundred eighty-nine million, nine hundred forty-seven thousand, one hundred thirty-six".