3466820352 has 144 divisors (see below), whose sum is σ = 9410657760. Its totient is φ = 1132855296.

The previous prime is 3466820333. The next prime is 3466820377. The reversal of 3466820352 is 2530286643.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3466820352.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12887674 + ... + 12887942.

It is an arithmetic number, because the mean of its divisors is an integer number (65351790).

Almost surely, 2^3466820352 is an apocalyptic number.

3466820352 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 3466820352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4705328880).

3466820352 is an abundant number, since it is smaller than the sum of its proper divisors (5943837408).

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

3466820352 is a wasteful number, since it uses less digits than its factorization.

3466820352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The square root of 3466820352 is about 58879.7108688553. The cubic root of 3466820352 is about 1513.4814851476.

The spelling of 3466820352 in words is "three billion, four hundred sixty-six million, eight hundred twenty thousand, three hundred fifty-two".