34103744640 has 384 divisors, whose sum is σ = 137135980800. Its totient is φ = 7647584256.

The previous prime is 34103744639. The next prime is 34103744657. The reversal of 34103744640 is 4644730143.

34103744640 is a `hidden beast` number, since 3 + 4 + 1 + 0 + 3 + 7 + 4 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 34103744595 and 34103744604.

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, 2128981 + ... + 2144939.

It is an arithmetic number, because the mean of its divisors is an integer number (357124950).

Almost surely, 2^34103744640 is an apocalyptic number.

34103744640 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 34103744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68567990400).

34103744640 is an abundant number, since it is smaller than the sum of its proper divisors (103032236160).

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

34103744640 is a wasteful number, since it uses less digits than its factorization.

34103744640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16044 (or 16029 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 34103744640 in words is "thirty-four billion, one hundred three million, seven hundred forty-four thousand, six hundred forty".