34150965984 has 480 divisors, whose sum is σ = 114653822976. Its totient is φ = 9908490240.

The previous prime is 34150965931. The next prime is 34150966013. The reversal of 34150965984 is 48956905143.

34150965984 is a `hidden beast` number, since 3 + 4 + 1 + 509 + 6 + 59 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 34150965984.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 31417089 + ... + 31418175.

Almost surely, 2^34150965984 is an apocalyptic number.

34150965984 is a gapful number since it is divisible by the number (34) 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 34150965984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57326911488).

34150965984 is an abundant number, since it is smaller than the sum of its proper divisors (80502856992).

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

34150965984 is a wasteful number, since it uses less digits than its factorization.

34150965984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 34150965984 in words is "thirty-four billion, one hundred fifty million, nine hundred sixty-five thousand, nine hundred eighty-four".