34313420003040 has 192 divisors, whose sum is σ = 121013742769920. Its totient is φ = 9080395983360.

The previous prime is 34313420003033. The next prime is 34313420003047. The reversal of 34313420003040 is 4030002431343.

34313420003040 is a `hidden beast` number, since 3 + 4 + 313 + 42 + 0 + 0 + 0 + 304 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34313420003033) and next prime (34313420003047).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34313420002995 and 34313420003013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34313420003047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29750574 + ... + 30882413.

It is an arithmetic number, because the mean of its divisors is an integer number (630279910260).

Almost surely, 2^{34313420003040} is an apocalyptic number.

34313420003040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34313420003040 is an abundant number, since it is smaller than the sum of its proper divisors (86700322766880).

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

34313420003040 is a wasteful number, since it uses less digits than its factorization.

34313420003040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60633142 (or 60633128 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 34313420003040 its reverse (4030002431343), we get a palindrome (38343422434383).

The spelling of 34313420003040 in words is "thirty-four trillion, three hundred thirteen billion, four hundred twenty million, three thousand, forty".