34358753664 has 384 divisors, whose sum is σ = 110314713600. Its totient is φ = 10610694144.

The previous prime is 34358753657. The next prime is 34358753717. The reversal of 34358753664 is 46635785343.

34358753664 is a `hidden beast` number, since 3 + 4 + 3 + 587 + 53 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 34358753664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27775254 + ... + 27776490.

It is an arithmetic number, because the mean of its divisors is an integer number (287277900).

Almost surely, 2^34358753664 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 34358753664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55157356800).

34358753664 is an abundant number, since it is smaller than the sum of its proper divisors (75955959936).

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

34358753664 is a wasteful number, since it uses less digits than its factorization.

34358753664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1308 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 54.

The spelling of 34358753664 in words is "thirty-four billion, three hundred fifty-eight million, seven hundred fifty-three thousand, six hundred sixty-four".