34073400373337 has 16 divisors (see below), whose sum is σ = 37878411701760. Its totient is φ = 30437544614400.

The previous prime is 34073400373319. The next prime is 34073400373361. The reversal of 34073400373337 is 73337300437043.

It is a cyclic number.

It is not a de Polignac number, because 34073400373337 - 2⁸ = 34073400373081 is a prime.

It is a super-2 number, since 2×34073400373337² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34073400373291 and 34073400373300.

It is not an unprimeable number, because it can be changed into a prime (34073400373367) 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, 73380137 + ... + 73843017.

It is an arithmetic number, because the mean of its divisors is an integer number (2367400731360).

Almost surely, 2^{34073400373337} is an apocalyptic number.

It is an amenable number.

34073400373337 is a deficient number, since it is larger than the sum of its proper divisors (3805011328423).

34073400373337 is a wasteful number, since it uses less digits than its factorization.

34073400373337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645584.

The product of its (nonzero) digits is 4000752, while the sum is 47.

The spelling of 34073400373337 in words is "thirty-four trillion, seventy-three billion, four hundred million, three hundred seventy-three thousand, three hundred thirty-seven".