34381620 has 144 divisors (see below), whose sum is σ = 128419200. Its totient is φ = 7250688.

The previous prime is 34381609. The next prime is 34381631. The reversal of 34381620 is 2618343.

It is a happy number.

34381620 is a `hidden beast` number, since 3 + 4 + 38 + 1 + 620 = 666.

It is an interprime number because it is at equal distance from previous prime (34381609) and next prime (34381631).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15331 + ... + 17429.

It is an arithmetic number, because the mean of its divisors is an integer number (891800).

Almost surely, 2^34381620 is an apocalyptic number.

34381620 is a gapful number since it is divisible by the number (30) 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 34381620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64209600).

34381620 is an abundant number, since it is smaller than the sum of its proper divisors (94037580).

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

34381620 is a wasteful number, since it uses less digits than its factorization.

34381620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 34381620 is about 5863.5842280980. The cubic root of 34381620 is about 325.1687328952.

Adding to 34381620 its reverse (2618343), we get a palindrome (36999963).

The spelling of 34381620 in words is "thirty-four million, three hundred eighty-one thousand, six hundred twenty".