34899561695808 has 1344 divisors, whose sum is σ = 113617317445632. Its totient is φ = 10596630159360.

The previous prime is 34899561695783. The next prime is 34899561695813. The reversal of 34899561695808 is 80859616599843.

34899561695808 is a `hidden beast` number, since 3 + 48 + 9 + 9 + 561 + 6 + 9 + 5 + 8 + 0 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 132697953085 + ... + 132697953347.

It is an arithmetic number, because the mean of its divisors is an integer number (84536694528).

Almost surely, 2^{34899561695808} 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 34899561695808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56808658722816).

34899561695808 is an abundant number, since it is smaller than the sum of its proper divisors (78717755749824).

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

34899561695808 is a wasteful number, since it uses less digits than its factorization.

34899561695808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 4031078400, while the sum is 81.

The spelling of 34899561695808 in words is "thirty-four trillion, eight hundred ninety-nine billion, five hundred sixty-one million, six hundred ninety-five thousand, eight hundred eight".