3904197120 has 240 divisors, whose sum is σ = 13854472632. Its totient is φ = 1015480320.

The previous prime is 3904197113. The next prime is 3904197131. The reversal of 3904197120 is 217914093.

It can be written as a sum of positive squares in 4 ways, for example, as 2583892224 + 1320304896 = 50832^2 + 36336^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 942574 + ... + 946706.

Almost surely, 2^3904197120 is an apocalyptic number.

3904197120 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 3904197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6927236316).

3904197120 is an abundant number, since it is smaller than the sum of its proper divisors (9950275512).

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

3904197120 is a wasteful number, since it uses less digits than its factorization.

3904197120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4203 (or 4184 counting only the distinct ones).

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

The square root of 3904197120 is about 62483.5748017029. The cubic root of 3904197120 is about 1574.6253742404.

It can be divided in two parts, 39041 and 97120, that added together give a square (136161 = 369²).

The spelling of 3904197120 in words is "three billion, nine hundred four million, one hundred ninety-seven thousand, one hundred twenty".