34007070370740 has 96 divisors (see below), whose sum is σ = 97795928845440. Its totient is φ = 8823219365376.

The previous prime is 34007070370667. The next prime is 34007070370759. The reversal of 34007070370740 is 4707307070043.

It is a junction number, because it is equal to n+sod(n) for n = 34007070370692 and 34007070370701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91840891 + ... + 92210429.

It is an arithmetic number, because the mean of its divisors is an integer number (1018707592140).

Almost surely, 2^{34007070370740} is an apocalyptic number.

34007070370740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34007070370740 is an abundant number, since it is smaller than the sum of its proper divisors (63788858474700).

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

34007070370740 is a wasteful number, since it uses less digits than its factorization.

34007070370740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411041 (or 411039 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 42.

The spelling of 34007070370740 in words is "thirty-four trillion, seven billion, seventy million, three hundred seventy thousand, seven hundred forty".