34985457936 has 405 divisors, whose sum is σ = 117615126447. Its totient is φ = 9696360960.

The previous prime is 34985457889. The next prime is 34985457961. The reversal of 34985457936 is 63975458943.

The square root of 34985457936 is 187044.

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

34985457936 is a `hidden beast` number, since 3 + 4 + 9 + 8 + 54 + 579 + 3 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1223600400 + 33761857536 = 34980^2 + 183744^2 .

Its product of digits (97977600) is a multiple of the sum of its prime factors (280).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 320967450 + ... + 320967558.

Almost surely, 2^34985457936 is an apocalyptic number.

34985457936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

34985457936 is the 187044-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34985457936

34985457936 is an abundant number, since it is smaller than the sum of its proper divisors (82629668511).

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

34985457936 is a wasteful number, since it uses less digits than its factorization.

34985457936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 138 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 63.

The spelling of 34985457936 in words is "thirty-four billion, nine hundred eighty-five million, four hundred fifty-seven thousand, nine hundred thirty-six".