34526044976640 has 640 divisors, whose sum is σ = 131997444480000. Its totient is φ = 7533481033728.

The previous prime is 34526044976623. The next prime is 34526044976641. The reversal of 34526044976640 is 4667944062543.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34526044976641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105259611 + ... + 105587109.

It is an arithmetic number, because the mean of its divisors is an integer number (206246007000).

Almost surely, 2^{34526044976640} is an apocalyptic number.

34526044976640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34526044976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65998722240000).

34526044976640 is an abundant number, since it is smaller than the sum of its proper divisors (97471399503360).

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

34526044976640 is a wasteful number, since it uses less digits than its factorization.

34526044976640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327622 (or 327606 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 60.

The spelling of 34526044976640 in words is "thirty-four trillion, five hundred twenty-six billion, forty-four million, nine hundred seventy-six thousand, six hundred forty".