3406209152 has 64 divisors (see below), whose sum is σ = 7191336600. Its totient is φ = 1604198400.

The previous prime is 3406209139. The next prime is 3406209161. The reversal of 3406209152 is 2519026043.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2286369856 + 1119839296 = 47816^2 + 33464^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141002 + ... + 163382.

Almost surely, 2^3406209152 is an apocalyptic number.

3406209152 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 3406209152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3595668300).

3406209152 is an abundant number, since it is smaller than the sum of its proper divisors (3785127448).

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

3406209152 is a wasteful number, since it uses less digits than its factorization.

3406209152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22465 (or 22453 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 3406209152 is about 58362.7377013793. The cubic root of 3406209152 is about 1504.6093991914.

The spelling of 3406209152 in words is "three billion, four hundred six million, two hundred nine thousand, one hundred fifty-two".