3997142400 has 384 divisors, whose sum is σ = 14090883840. Its totient is φ = 993484800.

The previous prime is 3997142389. The next prime is 3997142417. The reversal of 3997142400 is 42417993.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 9494190 + ... + 9494610.

It is an arithmetic number, because the mean of its divisors is an integer number (36695010).

Almost surely, 2^3997142400 is an apocalyptic number.

3997142400 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 3997142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7045441920).

3997142400 is an abundant number, since it is smaller than the sum of its proper divisors (10093741440).

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

3997142400 is a wasteful number, since it uses less digits than its factorization.

3997142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 3997142400 is about 63222.9578555132. The cubic root of 3997142400 is about 1587.0229488111.

The spelling of 3997142400 in words is "three billion, nine hundred ninety-seven million, one hundred forty-two thousand, four hundred".