3642710400 has 768 divisors, whose sum is σ = 16088256000. Its totient is φ = 786309120.

The previous prime is 3642710369. The next prime is 3642710417. The reversal of 3642710400 is 40172463.

3642710400 is a `hidden beast` number, since 3 + 642 + 7 + 10 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11491042 + ... + 11491358.

It is an arithmetic number, because the mean of its divisors is an integer number (20948250).

Almost surely, 2^3642710400 is an apocalyptic number.

3642710400 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 3642710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8044128000).

3642710400 is an abundant number, since it is smaller than the sum of its proper divisors (12445545600).

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

3642710400 is a wasteful number, since it uses less digits than its factorization.

3642710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3642710400 is about 60354.8705573958. The cubic root of 3642710400 is about 1538.6560490476.

Adding to 3642710400 its reverse (40172463), we get a palindrome (3682882863).

The spelling of 3642710400 in words is "three billion, six hundred forty-two million, seven hundred ten thousand, four hundred".