34455040 has 80 divisors (see below), whose sum is σ = 84802608. Its totient is φ = 13418496.

The previous prime is 34455017. The next prime is 34455041. The reversal of 34455040 is 4055443.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 34454996 and 34455014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34455041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109924 + ... + 110236.

Almost surely, 2^34455040 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 34455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42401304).

34455040 is an abundant number, since it is smaller than the sum of its proper divisors (50347568).

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

34455040 is an equidigital number, since it uses as much as digits as its factorization.

34455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 34455040 is about 5869.8415651532. The cubic root of 34455040 is about 325.4000281311.

The spelling of 34455040 in words is "thirty-four million, four hundred fifty-five thousand, forty".