34204981242240 has 1536 divisors, whose sum is σ = 126860673139200. Its totient is φ = 8803875225600.

The previous prime is 34204981242239. The next prime is 34204981242253. The reversal of 34204981242240 is 4224218940243.

34204981242240 is a `hidden beast` number, since 3 + 4 + 204 + 9 + 8 + 12 + 422 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 162108915735 + ... + 162108915945.

It is an arithmetic number, because the mean of its divisors is an integer number (82591584075).

Almost surely, 2^{34204981242240} is an apocalyptic number.

34204981242240 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 34204981242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63430336569600).

34204981242240 is an abundant number, since it is smaller than the sum of its proper divisors (92655691896960).

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

34204981242240 is a wasteful number, since it uses less digits than its factorization.

34204981242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 34204981242240 in words is "thirty-four trillion, two hundred four billion, nine hundred eighty-one million, two hundred forty-two thousand, two hundred forty".