34007340040 has 64 divisors (see below), whose sum is σ = 76776336000. Its totient is φ = 13556843520.

The previous prime is 34007340011. The next prime is 34007340047. The reversal of 34007340040 is 4004370043.

It is a junction number, because it is equal to n+sod(n) for n = 34007339987 and 34007340014.

It is not an unprimeable number, because it can be changed into a prime (34007340047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21812781 + ... + 21814339.

It is an arithmetic number, because the mean of its divisors is an integer number (1199630250).

Almost surely, 2^34007340040 is an apocalyptic number.

It is an amenable number.

34007340040 is an abundant number, since it is smaller than the sum of its proper divisors (42768995960).

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

34007340040 is a wasteful number, since it uses less digits than its factorization.

34007340040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3070 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 25.

The spelling of 34007340040 in words is "thirty-four billion, seven million, three hundred forty thousand, forty".