34013382801552 has 400 divisors, whose sum is σ = 123951367926144. Its totient is φ = 8747170560000.

The previous prime is 34013382801547. The next prime is 34013382801617. The reversal of 34013382801552 is 25510828331043.

34013382801552 is a `hidden beast` number, since 3 + 4 + 0 + 13 + 3 + 8 + 2 + 80 + 1 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34013382801498 and 34013382801507.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8391652 + ... + 11766332.

Almost surely, 2^{34013382801552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34013382801552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61975683963072).

34013382801552 is an abundant number, since it is smaller than the sum of its proper divisors (89937985124592).

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

34013382801552 is a wasteful number, since it uses less digits than its factorization.

34013382801552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3374820 (or 3374805 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 34013382801552 in words is "thirty-four trillion, thirteen billion, three hundred eighty-two million, eight hundred one thousand, five hundred fifty-two".