3506406000 has 160 divisors (see below), whose sum is σ = 11465266176. Its totient is φ = 921760000.

The previous prime is 3506405989. The next prime is 3506406019. The reversal of 3506406000 is 6046053.

3506406000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 421885 + ... + 430115.

Almost surely, 2^3506406000 is an apocalyptic number.

3506406000 is a gapful number since it is divisible by the number (30) 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 3506406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5732633088).

3506406000 is an abundant number, since it is smaller than the sum of its proper divisors (7958860176).

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

3506406000 is a wasteful number, since it uses less digits than its factorization.

3506406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8328 (or 8312 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 3506406000 is about 59214.9136620159. The cubic root of 3506406000 is about 1519.2202256139.

The spelling of 3506406000 in words is "three billion, five hundred six million, four hundred six thousand".