34890912 has 144 divisors (see below), whose sum is σ = 117778752. Its totient is φ = 9953280.

The previous prime is 34890871. The next prime is 34890949. The reversal of 34890912 is 21909843.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54112 + ... + 54752.

It is an arithmetic number, because the mean of its divisors is an integer number (817908).

Almost surely, 2^34890912 is an apocalyptic number.

34890912 is a gapful number since it is divisible by the number (32) 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 34890912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58889376).

34890912 is an abundant number, since it is smaller than the sum of its proper divisors (82887840).

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

34890912 is an equidigital number, since it uses as much as digits as its factorization.

34890912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 34890912 is about 5906.8529692214. The cubic root of 34890912 is about 326.7664353505.

The spelling of 34890912 in words is "thirty-four million, eight hundred ninety thousand, nine hundred twelve".