34923701843712 has 432 divisors, whose sum is σ = 114197935299840. Its totient is φ = 10519526983680.

The previous prime is 34923701843711. The next prime is 34923701843749. The reversal of 34923701843712 is 21734810732943.

34923701843712 is a `hidden beast` number, since 3 + 4 + 9 + 23 + 70 + 184 + 371 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×34923701843712³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34923701843711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139545763 + ... + 139795805.

Almost surely, 2^{34923701843712} is an apocalyptic number.

34923701843712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34923701843712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57098967649920).

34923701843712 is an abundant number, since it is smaller than the sum of its proper divisors (79274233456128).

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

34923701843712 is a wasteful number, since it uses less digits than its factorization.

34923701843712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250257 (or 250226 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 34923701843712 in words is "thirty-four trillion, nine hundred twenty-three billion, seven hundred one million, eight hundred forty-three thousand, seven hundred twelve".