34155520000 has 280 divisors, whose sum is σ = 97652378736. Its totient is φ = 11698176000.

The previous prime is 34155519989. The next prime is 34155520001. The reversal of 34155520000 is 2555143.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34155520001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35839524 + ... + 35840476.

Almost surely, 2^34155520000 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 34155520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48826189368).

34155520000 is an abundant number, since it is smaller than the sum of its proper divisors (63496858736).

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

34155520000 is an frugal number, since it uses more digits than its factorization.

34155520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The spelling of 34155520000 in words is "thirty-four billion, one hundred fifty-five million, five hundred twenty thousand".