3997555200 has 480 divisors, whose sum is σ = 15070017600. Its totient is φ = 1037352960.

The previous prime is 3997555189. The next prime is 3997555213. The reversal of 3997555200 is 25557993.

3997555200 is a `hidden beast` number, since 3 + 9 + 97 + 5 + 552 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14860666 + ... + 14860934.

It is an arithmetic number, because the mean of its divisors is an integer number (31395870).

Almost surely, 2^3997555200 is an apocalyptic number.

3997555200 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 3997555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7535008800).

3997555200 is an abundant number, since it is smaller than the sum of its proper divisors (11072462400).

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

3997555200 is a wasteful number, since it uses less digits than its factorization.

3997555200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 425250, while the sum is 45.

The square root of 3997555200 is about 63226.2224081117. Note that the first 3 decimals coincide. The cubic root of 3997555200 is about 1587.0775795495.

The spelling of 3997555200 in words is "three billion, nine hundred ninety-seven million, five hundred fifty-five thousand, two hundred".