34146648 has 96 divisors (see below), whose sum is σ = 98670000. Its totient is φ = 10637568.

The previous prime is 34146611. The next prime is 34146649. The reversal of 34146648 is 84664143.

34146648 is a `hidden beast` number, since 3 + 4 + 1 + 4 + 6 + 648 = 666.

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.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34146649) 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, 148998 + ... + 149226.

Almost surely, 2^34146648 is an apocalyptic number.

34146648 is a gapful number since it is divisible by the number (38) 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 34146648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49335000).

34146648 is an abundant number, since it is smaller than the sum of its proper divisors (64523352).

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

34146648 is a wasteful number, since it uses less digits than its factorization.

34146648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 362 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 34146648 is about 5843.5133267581. The cubic root of 34146648 is about 324.4262793288.

The spelling of 34146648 in words is "thirty-four million, one hundred forty-six thousand, six hundred forty-eight".