34557887980 has 576 divisors, whose sum is σ = 102961152000. Its totient is φ = 9686476800.

The previous prime is 34557887977. The next prime is 34557887983. The reversal of 34557887980 is 8978875543.

It is a happy number.

34557887980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34557887977) and next prime (34557887983).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34557887983) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 437441581 + ... + 437441659.

It is an arithmetic number, because the mean of its divisors is an integer number (178752000).

Almost surely, 2^34557887980 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 34557887980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51480576000).

34557887980 is an abundant number, since it is smaller than the sum of its proper divisors (68403264020).

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

34557887980 is a wasteful number, since it uses less digits than its factorization.

34557887980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 64.

The spelling of 34557887980 in words is "thirty-four billion, five hundred fifty-seven million, eight hundred eighty-seven thousand, nine hundred eighty".