3450411936 has 144 divisors (see below), whose sum is σ = 10586112264. Its totient is φ = 1061978112.

The previous prime is 3450411901. The next prime is 3450411961. The reversal of 3450411936 is 6391140543.

3450411936 is a `hidden beast` number, since 3 + 4 + 504 + 119 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2678683536 + 771728400 = 51756^2 + 27780^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3450411936.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252840 + ... + 266136.

Almost surely, 2^3450411936 is an apocalyptic number.

3450411936 is a gapful number since it is divisible by the number (36) 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 3450411936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5293056132).

3450411936 is an abundant number, since it is smaller than the sum of its proper divisors (7135700328).

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

3450411936 is a wasteful number, since it uses less digits than its factorization.

3450411936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13383 (or 13372 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3450411936 is about 58740.2071497880. The cubic root of 3450411936 is about 1511.0899453462.

The spelling of 3450411936 in words is "three billion, four hundred fifty million, four hundred eleven thousand, nine hundred thirty-six".