3913197120 has 336 divisors, whose sum is σ = 15599176320. Its totient is φ = 881860608.

The previous prime is 3913197097. The next prime is 3913197121. The reversal of 3913197120 is 217913193.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×3913197120² = 30626223399952588800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3913197121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1470351 + ... + 1473009.

It is an arithmetic number, because the mean of its divisors is an integer number (46426120).

Almost surely, 2^3913197120 is an apocalyptic number.

3913197120 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 3913197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7799588160).

3913197120 is an abundant number, since it is smaller than the sum of its proper divisors (11685979200).

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

3913197120 is a wasteful number, since it uses less digits than its factorization.

3913197120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 3913197120 is about 62555.5522715610. The cubic root of 3913197120 is about 1575.8343938607.

The spelling of 3913197120 in words is "three billion, nine hundred thirteen million, one hundred ninety-seven thousand, one hundred twenty".