34289270093760 has 112 divisors (see below), whose sum is σ = 118765562815872. Its totient is φ = 8312550323200.

The previous prime is 34289270093759. The next prime is 34289270093803. The reversal of 34289270093760 is 6739007298243.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 34289270093694 and 34289270093703.

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, 1623534426 + ... + 1623555545.

It is an arithmetic number, because the mean of its divisors is an integer number (1060406810856).

Almost surely, 2^{34289270093760} is an apocalyptic number.

34289270093760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34289270093760 is an abundant number, since it is smaller than the sum of its proper divisors (84476292722112).

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

34289270093760 is a wasteful number, since it uses less digits than its factorization.

34289270093760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3247090002 (or 3247089992 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 60.

The spelling of 34289270093760 in words is "thirty-four trillion, two hundred eighty-nine billion, two hundred seventy million, ninety-three thousand, seven hundred sixty".