34089490543680 has 3584 divisors, whose sum is σ = 154317245644800. Its totient is φ = 6965438054400.

The previous prime is 34089490543663. The next prime is 34089490543697. The reversal of 34089490543680 is 8634509498043.

34089490543680 is a `hidden beast` number, since 3 + 4 + 0 + 8 + 9 + 4 + 9 + 0 + 543 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (34089490543663) and next prime (34089490543697).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 52204426234 + ... + 52204426886.

It is an arithmetic number, because the mean of its divisors is an integer number (43057267200).

Almost surely, 2^{34089490543680} is an apocalyptic number.

34089490543680 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 34089490543680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77158622822400).

34089490543680 is an abundant number, since it is smaller than the sum of its proper divisors (120227755101120).

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

34089490543680 is a wasteful number, since it uses less digits than its factorization.

34089490543680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 34089490543680 in words is "thirty-four trillion, eighty-nine billion, four hundred ninety million, five hundred forty-three thousand, six hundred eighty".