34354801152 has 960 divisors, whose sum is σ = 129427144704. Its totient is φ = 8546549760.

The previous prime is 34354801141. The next prime is 34354801153. The reversal of 34354801152 is 25110845343.

34354801152 is a `hidden beast` number, since 34 + 35 + 480 + 115 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (34354801153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 730953193 + ... + 730953239.

Almost surely, 2^34354801152 is an apocalyptic number.

34354801152 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 34354801152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64713572352).

34354801152 is an abundant number, since it is smaller than the sum of its proper divisors (95072343552).

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

34354801152 is a wasteful number, since it uses less digits than its factorization.

34354801152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 34354801152 in words is "thirty-four billion, three hundred fifty-four million, eight hundred one thousand, one hundred fifty-two".