34340336015040 has 672 divisors, whose sum is σ = 133371017544960. Its totient is φ = 8033434214400.

The previous prime is 34340336015023. The next prime is 34340336015087. The reversal of 34340336015040 is 4051063304343.

34340336015040 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 0 + 3 + 3 + 601 + 5 + 0 + 40 = 666.

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 = 34340336014986 and 34340336015004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1847536627 + ... + 1847555213.

Almost surely, 2^{34340336015040} is an apocalyptic number.

34340336015040 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 34340336015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66685508772480).

34340336015040 is an abundant number, since it is smaller than the sum of its proper divisors (99030681529920).

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

34340336015040 is a wasteful number, since it uses less digits than its factorization.

34340336015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20661 (or 20648 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 34340336015040 its reverse (4051063304343), we get a palindrome (38391399319383).

The spelling of 34340336015040 in words is "thirty-four trillion, three hundred forty billion, three hundred thirty-six million, fifteen thousand, forty".