34863408 has 60 divisors (see below), whose sum is σ = 98074080. Its totient is φ = 11561088.

The previous prime is 34863401. The next prime is 34863427. The reversal of 34863408 is 80436843.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34863401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33910 + ... + 34922.

It is an arithmetic number, because the mean of its divisors is an integer number (1634568).

Almost surely, 2^34863408 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 34863408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49037040).

34863408 is an abundant number, since it is smaller than the sum of its proper divisors (63210672).

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

34863408 is a wasteful number, since it uses less digits than its factorization.

34863408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 34863408 is about 5904.5243669579. The cubic root of 34863408 is about 326.6805510319.

The spelling of 34863408 in words is "thirty-four million, eight hundred sixty-three thousand, four hundred eight".