3506645412 has 192 divisors, whose sum is σ = 9812275200. Its totient is φ = 1080414720.

The previous prime is 3506645407. The next prime is 3506645423. The reversal of 3506645412 is 2145466053.

3506645412 is a `hidden beast` number, since 3 + 5 + 0 + 6 + 645 + 4 + 1 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10405308 + ... + 10405644.

It is an arithmetic number, because the mean of its divisors is an integer number (51105600).

Almost surely, 2^3506645412 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 3506645412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4906137600).

3506645412 is an abundant number, since it is smaller than the sum of its proper divisors (6305629788).

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

3506645412 is a wasteful number, since it uses less digits than its factorization.

3506645412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3506645412 is about 59216.9351790516. The cubic root of 3506645412 is about 1519.2548014992.

The spelling of 3506645412 in words is "three billion, five hundred six million, six hundred forty-five thousand, four hundred twelve".