3993465600 has 648 divisors, whose sum is σ = 15568534800. Its totient is φ = 973209600.

The previous prime is 3993465587. The next prime is 3993465629. The reversal of 3993465600 is 65643993.

It is a happy number.

3993465600 is a `hidden beast` number, since 3 + 9 + 9 + 34 + 6 + 5 + 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 71 ways as a sum of consecutive naturals, for example, 44870356 + ... + 44870444.

Almost surely, 2^3993465600 is an apocalyptic number.

3993465600 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 3993465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7784267400).

3993465600 is an abundant number, since it is smaller than the sum of its proper divisors (11575069200).

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

3993465600 is a wasteful number, since it uses less digits than its factorization.

3993465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 3993465600 is about 63193.8731207385. The cubic root of 3993465600 is about 1586.5361880637.

The spelling of 3993465600 in words is "three billion, nine hundred ninety-three million, four hundred sixty-five thousand, six hundred".