34004060541360 has 2880 divisors, whose sum is σ = 152565099208704. Its totient is φ = 6856864358400.

The previous prime is 34004060541349. The next prime is 34004060541361. The reversal of 34004060541360 is 6314506040043.

34004060541360 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 4 + 0 + 605 + 41 + 3 + 6 + 0 = 666.

It is a super-2 number, since 2×34004060541360² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (34004060541361) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 125476238025 + ... + 125476238295.

Almost surely, 2^{34004060541360} is an apocalyptic number.

34004060541360 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 34004060541360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76282549604352).

34004060541360 is an abundant number, since it is smaller than the sum of its proper divisors (118561038667344).

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

34004060541360 is a wasteful number, since it uses less digits than its factorization.

34004060541360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 34004060541360 in words is "thirty-four trillion, four billion, sixty million, five hundred forty-one thousand, three hundred sixty".