34004759040 has 1120 divisors, whose sum is σ = 148131054720. Its totient is φ = 7309688832.

The previous prime is 34004758993. The next prime is 34004759053. The reversal of 34004759040 is 4095740043.

It is a tau number, because it is divible by the number of its divisors (1120).

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 = 34004758986 and 34004759004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 248209852 + ... + 248209988.

Almost surely, 2^34004759040 is an apocalyptic number.

34004759040 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 34004759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74065527360).

34004759040 is an abundant number, since it is smaller than the sum of its proper divisors (114126295680).

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

34004759040 is an equidigital number, since it uses as much as digits as its factorization.

34004759040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 34004759040 in words is "thirty-four billion, four million, seven hundred fifty-nine thousand, forty".