3975787200 has 672 divisors, whose sum is σ = 16835493888. Its totient is φ = 797184000.

The previous prime is 3975787177. The next prime is 3975787223. The reversal of 3975787200 is 27875793.

It is an interprime number because it is at equal distance from previous prime (3975787177) and next prime (3975787223).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3975787200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11457427 + ... + 11457773.

Almost surely, 2^3975787200 is an apocalyptic number.

3975787200 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 3975787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8417746944).

3975787200 is an abundant number, since it is smaller than the sum of its proper divisors (12859706688).

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

3975787200 is a wasteful number, since it uses less digits than its factorization.

3975787200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 48.

The square root of 3975787200 is about 63053.8436576233. The cubic root of 3975787200 is about 1584.1916154278.

The spelling of 3975787200 in words is "three billion, nine hundred seventy-five million, seven hundred eighty-seven thousand, two hundred".