3651278400 has 1008 divisors, whose sum is σ = 16803745920. Its totient is φ = 729907200.

The previous prime is 3651278387. The next prime is 3651278401. The reversal of 3651278400 is 48721563.

3651278400 is a `hidden beast` number, since 36 + 512 + 78 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3651278401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41025556 + ... + 41025644.

Almost surely, 2^3651278400 is an apocalyptic number.

3651278400 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 3651278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8401872960).

3651278400 is an abundant number, since it is smaller than the sum of its proper divisors (13152467520).

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

3651278400 is a wasteful number, since it uses less digits than its factorization.

3651278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3651278400 is about 60425.8090554028. The cubic root of 3651278400 is about 1539.8614593985.

Adding to 3651278400 its reverse (48721563), we get a palindrome (3699999963).

The spelling of 3651278400 in words is "three billion, six hundred fifty-one million, two hundred seventy-eight thousand, four hundred".