34854912 has 144 divisors (see below), whose sum is σ = 105618240. Its totient is φ = 11059200.

The previous prime is 34854907. The next prime is 34854923. The reversal of 34854912 is 21945843.

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).

Its product of digits (34560) is a multiple of the sum of its prime factors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 571362 + ... + 571422.

It is an arithmetic number, because the mean of its divisors is an integer number (733460).

Almost surely, 2^34854912 is an apocalyptic number.

34854912 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 34854912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52809120).

34854912 is an abundant number, since it is smaller than the sum of its proper divisors (70763328).

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

34854912 is a wasteful number, since it uses less digits than its factorization.

34854912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 97 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 34854912 is about 5903.8048748244. The cubic root of 34854912 is about 326.6540121897.

The spelling of 34854912 in words is "thirty-four million, eight hundred fifty-four thousand, nine hundred twelve".