34007006674040 has 64 divisors (see below), whose sum is σ = 76918928011200. Its totient is φ = 13531285593088.

The previous prime is 34007006674033. The next prime is 34007006674063. The reversal of 34007006674040 is 4047660070043.

It is a super-2 number, since 2×34007006674040² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4519292 + ... + 9404148.

It is an arithmetic number, because the mean of its divisors is an integer number (1201858250175).

Almost surely, 2^{34007006674040} is an apocalyptic number.

It is an amenable number.

34007006674040 is an abundant number, since it is smaller than the sum of its proper divisors (42911921337160).

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

34007006674040 is a wasteful number, since it uses less digits than its factorization.

34007006674040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4885784 (or 4885780 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 41.

The spelling of 34007006674040 in words is "thirty-four trillion, seven billion, six million, six hundred seventy-four thousand, forty".