34904064 has 192 divisors, whose sum is σ = 110073600. Its totient is φ = 9732096.

The previous prime is 34904063. The next prime is 34904069. The reversal of 34904064 is 46040943.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34904063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1517557 + ... + 1517579.

It is an arithmetic number, because the mean of its divisors is an integer number (573300).

Almost surely, 2^34904064 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 34904064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55036800).

34904064 is an abundant number, since it is smaller than the sum of its proper divisors (75169536).

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

34904064 is a wasteful number, since it uses less digits than its factorization.

34904064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 34904064 is about 5907.9661474995. The cubic root of 34904064 is about 326.8074879918.

The spelling of 34904064 in words is "thirty-four million, nine hundred four thousand, sixty-four".