34148335104 has 480 divisors, whose sum is σ = 112855526784. Its totient is φ = 10241925120.

The previous prime is 34148335079. The next prime is 34148335121. The reversal of 34148335104 is 40153384143.

34148335104 is a `hidden beast` number, since 3 + 41 + 483 + 35 + 104 = 666.

It is a super-2 number, since 2×34148335104² (a number of 22 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 69548299 + ... + 69548789.

Almost surely, 2^34148335104 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 34148335104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56427763392).

34148335104 is an abundant number, since it is smaller than the sum of its proper divisors (78707191680).

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

34148335104 is an equidigital number, since it uses as much as digits as its factorization.

34148335104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 34148335104 in words is "thirty-four billion, one hundred forty-eight million, three hundred thirty-five thousand, one hundred four".