34520960268000 has 768 divisors, whose sum is σ = 132967046983680. Its totient is φ = 8681283072000.

The previous prime is 34520960267971. The next prime is 34520960268013. The reversal of 34520960268000 is 86206902543.

34520960268000 is a `hidden beast` number, since 3 + 4 + 520 + 9 + 60 + 2 + 68 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 176266132 + ... + 176461868.

It is an arithmetic number, because the mean of its divisors is an integer number (173134175760).

Almost surely, 2^{34520960268000} is an apocalyptic number.

34520960268000 is a gapful number since it is divisible by the number (30) 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 34520960268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66483523491840).

34520960268000 is an abundant number, since it is smaller than the sum of its proper divisors (98446086715680).

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

34520960268000 is a wasteful number, since it uses less digits than its factorization.

34520960268000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195865 (or 195841 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 34520960268000 in words is "thirty-four trillion, five hundred twenty billion, nine hundred sixty million, two hundred sixty-eight thousand".