34976949666048 has 720 divisors, whose sum is σ = 114117264277632. Its totient is φ = 10590289920000.

The previous prime is 34976949666041. The next prime is 34976949666121. The reversal of 34976949666048 is 84066694967943.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (34976949666041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12268307823 + ... + 12268310673.

Almost surely, 2^{34976949666048} 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 34976949666048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57058632138816).

34976949666048 is an abundant number, since it is smaller than the sum of its proper divisors (79140314611584).

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

34976949666048 is a wasteful number, since it uses less digits than its factorization.

34976949666048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3604 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 10158317568, while the sum is 81.

The spelling of 34976949666048 in words is "thirty-four trillion, nine hundred seventy-six billion, nine hundred forty-nine million, six hundred sixty-six thousand, forty-eight".