34138650 has 192 divisors, whose sum is σ = 108493056. Its totient is φ = 6912000.

The previous prime is 34138627. The next prime is 34138673. The reversal of 34138650 is 5683143.

It is an interprime number because it is at equal distance from previous prime (34138627) and next prime (34138673).

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 559620 + ... + 559680.

It is an arithmetic number, because the mean of its divisors is an integer number (565068).

Almost surely, 2^34138650 is an apocalyptic number.

34138650 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34138650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54246528).

34138650 is an abundant number, since it is smaller than the sum of its proper divisors (74354406).

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

34138650 is a wasteful number, since it uses less digits than its factorization.

34138650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 34138650 is about 5842.8289381087. The cubic root of 34138650 is about 324.4009477649.

The spelling of 34138650 in words is "thirty-four million, one hundred thirty-eight thousand, six hundred fifty".