34133091552 has 240 divisors, whose sum is σ = 114948741600. Its totient is φ = 9733312512.

The previous prime is 34133091523. The next prime is 34133091583. The reversal of 34133091552 is 25519033143.

34133091552 is a `hidden beast` number, since 3 + 4 + 13 + 3 + 0 + 91 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11193324 + ... + 11196372.

It is an arithmetic number, because the mean of its divisors is an integer number (478953090).

Almost surely, 2^34133091552 is an apocalyptic number.

34133091552 is a gapful number since it is divisible by the number (32) 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 34133091552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57474370800).

34133091552 is an abundant number, since it is smaller than the sum of its proper divisors (80815650048).

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

34133091552 is a wasteful number, since it uses less digits than its factorization.

34133091552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3695 (or 3678 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 34133091552 in words is "thirty-four billion, one hundred thirty-three million, ninety-one thousand, five hundred fifty-two".