34004078640 has 480 divisors, whose sum is σ = 143315827200. Its totient is φ = 7314665472.

The previous prime is 34004078599. The next prime is 34004078671. The reversal of 34004078640 is 4687040043.

34004078640 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 4 + 0 + 7 + 8 + 640 = 666.

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 = 34004078595 and 34004078604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2306011 + ... + 2320709.

It is an arithmetic number, because the mean of its divisors is an integer number (298574640).

Almost surely, 2^34004078640 is an apocalyptic number.

34004078640 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 34004078640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71657913600).

34004078640 is an abundant number, since it is smaller than the sum of its proper divisors (109311748560).

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

34004078640 is a wasteful number, since it uses less digits than its factorization.

34004078640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14751 (or 14733 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 34004078640 in words is "thirty-four billion, four million, seventy-eight thousand, six hundred forty".