3909906000 has 1440 divisors, whose sum is σ = 19264766976. Its totient is φ = 725760000.

The previous prime is 3909905963. The next prime is 3909906023. The reversal of 3909906000 is 6099093.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 126125985 + ... + 126126015.

Almost surely, 2^3909906000 is an apocalyptic number.

3909906000 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 3909906000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9632383488).

3909906000 is an abundant number, since it is smaller than the sum of its proper divisors (15354860976).

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

3909906000 is a wasteful number, since it uses less digits than its factorization.

3909906000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 3909906000 is about 62529.2411596367. The cubic root of 3909906000 is about 1575.3924947736.

It can be divided in two parts, 3909 and 906000, that added together give a palindrome (909909).

The spelling of 3909906000 in words is "three billion, nine hundred nine million, nine hundred six thousand".