34004407700744 has 32 divisors (see below), whose sum is σ = 71648083120320. Its totient is φ = 15011979318336.

The previous prime is 34004407700729. The next prime is 34004407700803. The reversal of 34004407700744 is 44700770440043.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34004407700695 and 34004407700704.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7107942362 + ... + 7107947145.

It is an arithmetic number, because the mean of its divisors is an integer number (2239002597510).

Almost surely, 2^{34004407700744} is an apocalyptic number.

It is an amenable number.

34004407700744 is an abundant number, since it is smaller than the sum of its proper divisors (37643675419576).

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

34004407700744 is a wasteful number, since it uses less digits than its factorization.

34004407700744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14215889549 (or 14215889545 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 44.

The spelling of 34004407700744 in words is "thirty-four trillion, four billion, four hundred seven million, seven hundred thousand, seven hundred forty-four".