3199407120 has 640 divisors, whose sum is σ = 13929108480. Its totient is φ = 656916480.

The previous prime is 3199407097. The next prime is 3199407121. The reversal of 3199407120 is 217049913.

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

It is not an unprimeable number, because it can be changed into a prime (3199407121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8058762 + ... + 8059158.

It is an arithmetic number, because the mean of its divisors is an integer number (21764232).

Almost surely, 2^3199407120 is an apocalyptic number.

3199407120 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 3199407120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6964554240).

3199407120 is an abundant number, since it is smaller than the sum of its proper divisors (10729701360).

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

3199407120 is a wasteful number, since it uses less digits than its factorization.

3199407120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 3199407120 is about 56563.3018838186. The cubic root of 3199407120 is about 1473.5215859770.

The spelling of 3199407120 in words is "three billion, one hundred ninety-nine million, four hundred seven thousand, one hundred twenty".