34010080 has 96 divisors (see below), whose sum is σ = 88016544. Its totient is φ = 12343296.

The previous prime is 34010063. The next prime is 34010083. The reversal of 34010080 is 8001043.

34010080 = 53² + 54² + ... + 467².

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34010083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172542 + ... + 172738.

It is an arithmetic number, because the mean of its divisors is an integer number (916839).

Almost surely, 2^34010080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34010080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44008272).

34010080 is an abundant number, since it is smaller than the sum of its proper divisors (54006464).

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

34010080 is a wasteful number, since it uses less digits than its factorization.

34010080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 34010080 is about 5831.8161836601. The cubic root of 34010080 is about 323.9931919516.

The spelling of 34010080 in words is "thirty-four million, ten thousand, eighty".