34435020564 has 288 divisors, whose sum is σ = 106308034560. Its totient is φ = 9437451264.

The previous prime is 34435020511. The next prime is 34435020583. The reversal of 34435020564 is 46502053443.

34435020564 is a `hidden beast` number, since 3 + 4 + 43 + 50 + 2 + 0 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 334320537 + ... + 334320639.

It is an arithmetic number, because the mean of its divisors is an integer number (369125120).

Almost surely, 2^34435020564 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 34435020564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53154017280).

34435020564 is an abundant number, since it is smaller than the sum of its proper divisors (71873013996).

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

34435020564 is a wasteful number, since it uses less digits than its factorization.

34435020564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 34435020564 in words is "thirty-four billion, four hundred thirty-five million, twenty thousand, five hundred sixty-four".