34012455120 has 320 divisors, whose sum is σ = 138508992000. Its totient is φ = 7506100224.

The previous prime is 34012455109. The next prime is 34012455121. The reversal of 34012455120 is 2155421043.

34012455120 is a `hidden beast` number, since 3 + 401 + 245 + 5 + 12 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34012455121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 399696 + ... + 477264.

It is an arithmetic number, because the mean of its divisors is an integer number (432840600).

Almost surely, 2^34012455120 is an apocalyptic number.

34012455120 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 34012455120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69254496000).

34012455120 is an abundant number, since it is smaller than the sum of its proper divisors (104496536880).

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

34012455120 is a wasteful number, since it uses less digits than its factorization.

34012455120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77627 (or 77615 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 34012455120 its reverse (2155421043), we get a palindrome (36167876163).

The spelling of 34012455120 in words is "thirty-four billion, twelve million, four hundred fifty-five thousand, one hundred twenty".