3909199101120 has 672 divisors, whose sum is σ = 14143767146496. Its totient is φ = 989848166400.

The previous prime is 3909199101113. The next prime is 3909199101131. The reversal of 3909199101120 is 211019919093.

3909199101120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3909199101120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2158585015 + ... + 2158586825.

Almost surely, 2^{3909199101120} is an apocalyptic number.

3909199101120 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 3909199101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7071883573248).

3909199101120 is an abundant number, since it is smaller than the sum of its proper divisors (10234568045376).

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

3909199101120 is a wasteful number, since it uses less digits than its factorization.

3909199101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349 (or 2336 counting only the distinct ones).

The product of its (nonzero) digits is 39366, while the sum is 45.

The spelling of 3909199101120 in words is "three trillion, nine hundred nine billion, one hundred ninety-nine million, one hundred one thousand, one hundred twenty".