3665390400 has 1344 divisors, whose sum is σ = 17416028160. Its totient is φ = 729907200.

The previous prime is 3665390389. The next prime is 3665390401. The reversal of 3665390400 is 40935663.

3665390400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3665390401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 118238385 + ... + 118238415.

Almost surely, 2^3665390400 is an apocalyptic number.

3665390400 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 3665390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8708014080).

3665390400 is an abundant number, since it is smaller than the sum of its proper divisors (13750637760).

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

3665390400 is a wasteful number, since it uses less digits than its factorization.

3665390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 3665390400 is about 60542.4677395958. The cubic root of 3665390400 is about 1541.8427370694.

The spelling of 3665390400 in words is "three billion, six hundred sixty-five million, three hundred ninety thousand, four hundred".