34055640 has 160 divisors (see below), whose sum is σ = 119702880. Its totient is φ = 8667648.

The previous prime is 34055603. The next prime is 34055653. The reversal of 34055640 is 4655043.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 74292 + ... + 74748.

It is an arithmetic number, because the mean of its divisors is an integer number (748143).

Almost surely, 2^34055640 is an apocalyptic number.

34055640 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 34055640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59851440).

34055640 is an abundant number, since it is smaller than the sum of its proper divisors (85647240).

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

34055640 is a wasteful number, since it uses less digits than its factorization.

34055640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 34055640 is about 5835.7210351421. The cubic root of 34055640 is about 324.1378014652.

It can be divided in two parts, 3405 and 5640, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 34055640 in words is "thirty-four million, fifty-five thousand, six hundred forty".