34210941444 has 81 divisors (see below), whose sum is σ = 89646806613. Its totient is φ = 11000060064.

The previous prime is 34210941439. The next prime is 34210941461. The reversal of 34210941444 is 44414901243.

It is a happy number.

The square root of 34210941444 is 184962.

It is a perfect power (a square), and thus also a powerful number.

34210941444 is a `hidden beast` number, since 3 + 421 + 0 + 94 + 144 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17939387844 + 16271553600 = 133938^2 + 127560^2 .

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 = 34210941399 and 34210941408.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32182857 + ... + 32183919.

Almost surely, 2^34210941444 is an apocalyptic number.

34210941444 is the 184962-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34210941444

34210941444 is an abundant number, since it is smaller than the sum of its proper divisors (55435865169).

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

34210941444 is a wasteful number, since it uses less digits than its factorization.

34210941444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2194 (or 1097 counting only the distinct ones).

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

Multiplying 34210941444 by its sum of digits (36), we get a square (1231593891984 = 1109772²).

34210941444 divided by its sum of digits (36) gives a square (950303929 = 30827²).

The spelling of 34210941444 in words is "thirty-four billion, two hundred ten million, nine hundred forty-one thousand, four hundred forty-four".