34640004 has 48 divisors (see below), whose sum is σ = 93019136. Its totient is φ = 9828000.

The previous prime is 34640003. The next prime is 34640027. The reversal of 34640004 is 40004643.

34640004 = T₁₀₁₇ + T₁₀₁₈ + ... + T₁₀₇₉.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (34640003) 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, 11319 + ... + 14049.

Almost surely, 2^34640004 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 34640004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46509568).

34640004 is an abundant number, since it is smaller than the sum of its proper divisors (58379132).

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

34640004 is a wasteful number, since it uses less digits than its factorization.

34640004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2896 (or 2894 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 34640004 is about 5885.5759276387. The cubic root of 34640004 is about 325.9812678210.

Adding to 34640004 its reverse (40004643), we get a palindrome (74644647).

The spelling of 34640004 in words is "thirty-four million, six hundred forty thousand, four".