34356104640000 has 6000 divisors, whose sum is σ = 163044289926144. Its totient is φ = 7116595200000.

The previous prime is 34356104639999. The next prime is 34356104640001. The reversal of 34356104640000 is 4640165343.

34356104640000 is a `hidden beast` number, since 3 + 4 + 3 + 5 + 6 + 1 + 0 + 4 + 640 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34356104639999) and next prime (34356104640001).

It is a tau number, because it is divible by the number of its divisors (6000).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34356104640001) by changing a digit.

It is a polite number, since it can be written in 599 ways as a sum of consecutive naturals, for example, 1108261439985 + ... + 1108261440015.

Almost surely, 2^{34356104640000} is an apocalyptic number.

34356104640000 is a gapful number since it is divisible by the number (30) 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 34356104640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81522144963072).

34356104640000 is an abundant number, since it is smaller than the sum of its proper divisors (128688185286144).

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

34356104640000 is a wasteful number, since it uses less digits than its factorization.

34356104640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 34356104640000 in words is "thirty-four trillion, three hundred fifty-six billion, one hundred four million, six hundred forty thousand".