34254140016000 has 256 divisors, whose sum is σ = 116621465987520. Its totient is φ = 8887560192000.

The previous prime is 34254140015987. The next prime is 34254140016023. The reversal of 34254140016000 is 61004145243.

It is a super-3 number, since 3×34254140016000³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 7867621 + ... + 11419620.

Almost surely, 2^{34254140016000} is an apocalyptic number.

34254140016000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34254140016000 is an abundant number, since it is smaller than the sum of its proper divisors (82367325971520).

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

34254140016000 is a wasteful number, since it uses less digits than its factorization.

34254140016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19287310 (or 19287288 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 34254140016000 in words is "thirty-four trillion, two hundred fifty-four billion, one hundred forty million, sixteen thousand".