34555493099764 has 288 divisors, whose sum is σ = 83047572873216. Its totient is φ = 12225139660800.

The previous prime is 34555493099759. The next prime is 34555493099767. The reversal of 34555493099764 is 46799039455543.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34555493099767) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 365298417 + ... + 365392999.

It is an arithmetic number, because the mean of its divisors is an integer number (288359628032).

Almost surely, 2^{34555493099764} is an apocalyptic number.

34555493099764 is a gapful number since it is divisible by the number (34) 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 34555493099764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41523786436608).

34555493099764 is an abundant number, since it is smaller than the sum of its proper divisors (48492079773452).

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

34555493099764 is a wasteful number, since it uses less digits than its factorization.

34555493099764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94815 (or 94796 counting only the distinct ones).

The product of its (nonzero) digits is 2204496000, while the sum is 73.

The spelling of 34555493099764 in words is "thirty-four trillion, five hundred fifty-five billion, four hundred ninety-three million, ninety-nine thousand, seven hundred sixty-four".