3897715200 has 120 divisors (see below), whose sum is σ = 12875985408. Its totient is φ = 1039380480.

The previous prime is 3897715189. The next prime is 3897715243. The reversal of 3897715200 is 25177983.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3897715200² = 30384367560622080000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12352 + ... + 89151.

Almost surely, 2^3897715200 is an apocalyptic number.

3897715200 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 3897715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6437992704).

3897715200 is an abundant number, since it is smaller than the sum of its proper divisors (8978270208).

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

3897715200 is a wasteful number, since it uses less digits than its factorization.

3897715200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101534 (or 101513 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 3897715200 is about 62431.6842636814. The cubic root of 3897715200 is about 1573.7534707403.

The spelling of 3897715200 in words is "three billion, eight hundred ninety-seven million, seven hundred fifteen thousand, two hundred".