3665894400 has 396 divisors, whose sum is σ = 15007326672. Its totient is φ = 837550080.

The previous prime is 3665894381. The next prime is 3665894411. The reversal of 3665894400 is 44985663.

3665894400 is a `hidden beast` number, since 3 + 66 + 589 + 4 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1611664 + ... + 1613936.

It is a vampire number, since it can be written as 38400 ⋅ 95466 (with its own digits).

Almost surely, 2^3665894400 is an apocalyptic number.

3665894400 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 3665894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7503663336).

3665894400 is an abundant number, since it is smaller than the sum of its proper divisors (11341432272).

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

3665894400 is a wasteful number, since it uses less digits than its factorization.

3665894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2316 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3665894400 is about 60546.6299640203. The cubic root of 3665894400 is about 1541.9134028594.

The spelling of 3665894400 in words is "three billion, six hundred sixty-five million, eight hundred ninety-four thousand, four hundred".