34974977041536 has 384 divisors, whose sum is σ = 117427544064000. Its totient is φ = 9161523947520.

The previous prime is 34974977041439. The next prime is 34974977041549. The reversal of 34974977041536 is 63514077947943.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9504705 + ... + 12660543.

It is an arithmetic number, because the mean of its divisors is an integer number (305800896000).

Almost surely, 2^{34974977041536} 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 34974977041536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58713772032000).

34974977041536 is an abundant number, since it is smaller than the sum of its proper divisors (82452567022464).

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

34974977041536 is a wasteful number, since it uses less digits than its factorization.

34974977041536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3155920 (or 3155901 counting only the distinct ones).

The product of its (nonzero) digits is 480090240, while the sum is 69.

The spelling of 34974977041536 in words is "thirty-four trillion, nine hundred seventy-four billion, nine hundred seventy-seven million, forty-one thousand, five hundred thirty-six".