34142646240 has 288 divisors, whose sum is σ = 122400585216. Its totient is φ = 8649907200.

The previous prime is 34142646203. The next prime is 34142646253. The reversal of 34142646240 is 4264624143.

34142646240 is a `hidden beast` number, since 3 + 4 + 1 + 4 + 2 + 646 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×34142646240² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 34142646195 and 34142646204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4997707 + ... + 5004533.

It is an arithmetic number, because the mean of its divisors is an integer number (425002032).

Almost surely, 2^34142646240 is an apocalyptic number.

34142646240 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 34142646240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61200292608).

34142646240 is an abundant number, since it is smaller than the sum of its proper divisors (88257938976).

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

34142646240 is a wasteful number, since it uses less digits than its factorization.

34142646240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7022 (or 7011 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 34142646240 in words is "thirty-four billion, one hundred forty-two million, six hundred forty-six thousand, two hundred forty".