3897363600 has 600 divisors, whose sum is σ = 15888635840. Its totient is φ = 906992640.

The previous prime is 3897363571. The next prime is 3897363601. The reversal of 3897363600 is 63637983.

It is a happy number.

3897363600 is a `hidden beast` number, since 3 + 8 + 9 + 7 + 3 + 636 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is not an unprimeable number, because it can be changed into a prime (3897363601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8002557 + ... + 8003043.

Almost surely, 2^3897363600 is an apocalyptic number.

3897363600 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 3897363600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7944317920).

3897363600 is an abundant number, since it is smaller than the sum of its proper divisors (11991272240).

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

3897363600 is a wasteful number, since it uses less digits than its factorization.

3897363600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 3897363600 is about 62428.8683222754. The cubic root of 3897363600 is about 1573.7061482851.

The spelling of 3897363600 in words is "three billion, eight hundred ninety-seven million, three hundred sixty-three thousand, six hundred".