34731648 has 192 divisors, whose sum is σ = 117748800. Its totient is φ = 9621504.

The previous prime is 34731617. The next prime is 34731649. The reversal of 34731648 is 84613743.

34731648 is a `hidden beast` number, since 3 + 4 + 7 + 3 + 1 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (48384) is a multiple of the sum of its prime divisors (144).

It is not an unprimeable number, because it can be changed into a prime (34731649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 475740 + ... + 475812.

It is an arithmetic number, because the mean of its divisors is an integer number (613275).

Almost surely, 2^34731648 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 34731648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58874400).

34731648 is an abundant number, since it is smaller than the sum of its proper divisors (83017152).

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

34731648 is a wasteful number, since it uses less digits than its factorization.

34731648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 144 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 34731648 is about 5893.3562593823. The cubic root of 34731648 is about 326.2684879645.

The spelling of 34731648 in words is "thirty-four million, seven hundred thirty-one thousand, six hundred forty-eight".