34642080 has 240 divisors, whose sum is σ = 133920864. Its totient is φ = 8398080.

The previous prime is 34642061. The next prime is 34642087. The reversal of 34642080 is 8024643.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34642087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3149275 + ... + 3149285.

Almost surely, 2^34642080 is an apocalyptic number.

34642080 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 34642080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66960432).

34642080 is an abundant number, since it is smaller than the sum of its proper divisors (99278784).

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

34642080 is an frugal number, since it uses more digits than its factorization.

34642080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 34642080 is about 5885.7522883655. The cubic root of 34642080 is about 325.9877797871.

The spelling of 34642080 in words is "thirty-four million, six hundred forty-two thousand, eighty".