34881644 has 48 divisors (see below), whose sum is σ = 74054400. Its totient is φ = 14043456.

The previous prime is 34881641. The next prime is 34881673. The reversal of 34881644 is 44618843.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 34881598 and 34881607.

It is not an unprimeable number, because it can be changed into a prime (34881641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91847 + ... + 92225.

It is an arithmetic number, because the mean of its divisors is an integer number (1542800).

Almost surely, 2^34881644 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 34881644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37027200).

34881644 is an abundant number, since it is smaller than the sum of its proper divisors (39172756).

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

34881644 is a wasteful number, since it uses less digits than its factorization.

34881644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 580 counting only the distinct ones).

The product of its digits is 73728, while the sum is 38.

The square root of 34881644 is about 5906.0684046157. The cubic root of 34881644 is about 326.7375000267.

The spelling of 34881644 in words is "thirty-four million, eight hundred eighty-one thousand, six hundred forty-four".