34638420 has 24 divisors (see below), whose sum is σ = 96987744. Its totient is φ = 9236896.

The previous prime is 34638403. The next prime is 34638421. The reversal of 34638420 is 2483643.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34638421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288594 + ... + 288713.

It is an arithmetic number, because the mean of its divisors is an integer number (4041156).

Almost surely, 2^34638420 is an apocalyptic number.

34638420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34638420 is an abundant number, since it is smaller than the sum of its proper divisors (62349324).

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

34638420 is a wasteful number, since it uses less digits than its factorization.

34638420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577319 (or 577317 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 34638420 is about 5885.4413598302. The cubic root of 34638420 is about 325.9762989782.

The spelling of 34638420 in words is "thirty-four million, six hundred thirty-eight thousand, four hundred twenty".