3197638080 has 896 divisors, whose sum is σ = 14337792000. Its totient is φ = 666537984.

The previous prime is 3197638057. The next prime is 3197638097. The reversal of 3197638080 is 808367913.

It is a happy number.

3197638080 is a `hidden beast` number, since 3 + 1 + 9 + 7 + 638 + 0 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38525719 + ... + 38525801.

It is an arithmetic number, because the mean of its divisors is an integer number (16002000).

Almost surely, 2^3197638080 is an apocalyptic number.

3197638080 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 3197638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7168896000).

3197638080 is an abundant number, since it is smaller than the sum of its proper divisors (11140153920).

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

3197638080 is a wasteful number, since it uses less digits than its factorization.

3197638080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 3197638080 is about 56547.6620206353. The cubic root of 3197638080 is about 1473.2499523984.

The spelling of 3197638080 in words is "three billion, one hundred ninety-seven million, six hundred thirty-eight thousand, eighty".