34620380221504 has 224 divisors, whose sum is σ = 90957606451200. Its totient is φ = 12665452584960.

The previous prime is 34620380221489. The next prime is 34620380221507. The reversal of 34620380221504 is 40512208302643.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (34620380221507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8944357 + ... + 12216475.

Almost surely, 2^{34620380221504} 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 34620380221504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45478803225600).

34620380221504 is an abundant number, since it is smaller than the sum of its proper divisors (56337226229696).

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

34620380221504 is a wasteful number, since it uses less digits than its factorization.

34620380221504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3272281 (or 3272271 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 34620380221504 in words is "thirty-four trillion, six hundred twenty billion, three hundred eighty million, two hundred twenty-one thousand, five hundred four".