34149087648 has 192 divisors, whose sum is σ = 107400222720. Its totient is φ = 10493991936.

The previous prime is 34149087631. The next prime is 34149087659. The reversal of 34149087648 is 84678094143.

34149087648 is a `hidden beast` number, since 3 + 41 + 490 + 8 + 76 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 34149087594 and 34149087603.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12207786 + ... + 12210582.

It is an arithmetic number, because the mean of its divisors is an integer number (559376160).

Almost surely, 2^34149087648 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 34149087648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53700111360).

34149087648 is an abundant number, since it is smaller than the sum of its proper divisors (73251135072).

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

34149087648 is a wasteful number, since it uses less digits than its factorization.

34149087648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3916 (or 3902 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 34149087648 in words is "thirty-four billion, one hundred forty-nine million, eighty-seven thousand, six hundred forty-eight".