3846657600 has 420 divisors, whose sum is σ = 14382774384. Its totient is φ = 1008184320.

The previous prime is 3846657587. The next prime is 3846657611. The reversal of 3846657600 is 67566483.

3846657600 is a `hidden beast` number, since 38 + 4 + 6 + 6 + 5 + 7 + 600 = 666.

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 59 ways as a sum of consecutive naturals, for example, 8682979 + ... + 8683421.

Almost surely, 2^3846657600 is an apocalyptic number.

3846657600 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 3846657600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7191387192).

3846657600 is an abundant number, since it is smaller than the sum of its proper divisors (10536116784).

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

3846657600 is a wasteful number, since it uses less digits than its factorization.

3846657600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3846657600 is about 62021.4285549761. The cubic root of 3846657600 is about 1566.8515208668.

The spelling of 3846657600 in words is "three billion, eight hundred forty-six million, six hundred fifty-seven thousand, six hundred".