34024203944640 has 1008 divisors, whose sum is σ = 146321687348928. Its totient is φ = 7104656572416.

The previous prime is 34024203944623. The next prime is 34024203944651. The reversal of 34024203944640 is 4644930242043.

34024203944640 is a `hidden beast` number, since 340 + 2 + 4 + 203 + 9 + 44 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×34024203944640² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 330431404 + ... + 330534356.

It is an arithmetic number, because the mean of its divisors is an integer number (145160404116).

Almost surely, 2^{34024203944640} is an apocalyptic number.

34024203944640 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 34024203944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73160843674464).

34024203944640 is an abundant number, since it is smaller than the sum of its proper divisors (112297483404288).

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

34024203944640 is a wasteful number, since it uses less digits than its factorization.

34024203944640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103106 (or 103080 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 45.

The spelling of 34024203944640 in words is "thirty-four trillion, twenty-four billion, two hundred three million, nine hundred forty-four thousand, six hundred forty".