34748064 has 72 divisors (see below), whose sum is σ = 106427412. Its totient is φ = 10690560.

The previous prime is 34748053. The next prime is 34748081. The reversal of 34748064 is 46084743.

It can be written as a sum of positive squares in 2 ways, for example, as 34715664 + 32400 = 5892^2 + 180^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 897 + ... + 8384.

Almost surely, 2^34748064 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 34748064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53213706).

34748064 is an abundant number, since it is smaller than the sum of its proper divisors (71679348).

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

34748064 is a wasteful number, since it uses less digits than its factorization.

34748064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9310 (or 9299 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 34748064 is about 5894.7488496118. The cubic root of 34748064 is about 326.3198837393.

The spelling of 34748064 in words is "thirty-four million, seven hundred forty-eight thousand, sixty-four".