34887119904 has 480 divisors, whose sum is σ = 126939415680. Its totient is φ = 9153036288.

The previous prime is 34887119893. The next prime is 34887119947. The reversal of 34887119904 is 40991178843.

34887119904 is a `hidden beast` number, since 3 + 488 + 71 + 1 + 9 + 90 + 4 = 666.

It is a super-2 number, since 2×34887119904² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 83262607 + ... + 83263025.

It is an arithmetic number, because the mean of its divisors is an integer number (264457116).

Almost surely, 2^34887119904 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 34887119904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63469707840).

34887119904 is an abundant number, since it is smaller than the sum of its proper divisors (92052295776).

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

34887119904 is a wasteful number, since it uses less digits than its factorization.

34887119904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 34887119904 in words is "thirty-four billion, eight hundred eighty-seven million, one hundred nineteen thousand, nine hundred four".