34943698944 has 768 divisors, whose sum is σ = 133975296000. Its totient is φ = 8732344320.

The previous prime is 34943698921. The next prime is 34943698997. The reversal of 34943698944 is 44989634943.

34943698944 is a `hidden beast` number, since 3 + 494 + 3 + 69 + 89 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123475827 + ... + 123476109.

It is an arithmetic number, because the mean of its divisors is an integer number (174447000).

Almost surely, 2^34943698944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34943698944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66987648000).

34943698944 is an abundant number, since it is smaller than the sum of its proper divisors (99031597056).

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

34943698944 is a wasteful number, since it uses less digits than its factorization.

34943698944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 335 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 63.

The spelling of 34943698944 in words is "thirty-four billion, nine hundred forty-three million, six hundred ninety-eight thousand, nine hundred forty-four".