34354944 has 216 divisors, whose sum is σ = 113090432. Its totient is φ = 9953280.

The previous prime is 34354927. The next prime is 34354949. The reversal of 34354944 is 44945343.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 34354899 and 34354908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34354949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 928494 + ... + 928530.

Almost surely, 2^34354944 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 34354944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56545216).

34354944 is an abundant number, since it is smaller than the sum of its proper divisors (78735488).

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

34354944 is a wasteful number, since it uses less digits than its factorization.

34354944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 86 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 34354944 is about 5861.3090688002. The cubic root of 34354944 is about 325.0846138663.

The spelling of 34354944 in words is "thirty-four million, three hundred fifty-four thousand, nine hundred forty-four".