34058640 has 320 divisors, whose sum is σ = 139991040. Its totient is φ = 6635520.

The previous prime is 34058627. The next prime is 34058641. The reversal of 34058640 is 4685043.

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

It is a junction number, because it is equal to n+sod(n) for n = 34058598 and 34058607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34058641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 351072 + ... + 351168.

It is an arithmetic number, because the mean of its divisors is an integer number (437472).

Almost surely, 2^34058640 is an apocalyptic number.

34058640 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 34058640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69995520).

34058640 is an abundant number, since it is smaller than the sum of its proper divisors (105932400).

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

34058640 is a wasteful number, since it uses less digits than its factorization.

34058640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 34058640 is about 5835.9780671281. The cubic root of 34058640 is about 324.1473190748.

The spelling of 34058640 in words is "thirty-four million, fifty-eight thousand, six hundred forty".