3650444582400 has 960 divisors, whose sum is σ = 16705251509760. Its totient is φ = 758528409600.

The previous prime is 3650444582363. The next prime is 3650444582401. The reversal of 3650444582400 is 42854440563.

3650444582400 is a `hidden beast` number, since 3 + 65 + 0 + 4 + 4 + 4 + 582 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3650444582401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26542612 + ... + 26679788.

It is an arithmetic number, because the mean of its divisors is an integer number (17401303656).

Almost surely, 2^{3650444582400} is an apocalyptic number.

3650444582400 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 3650444582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8352625754880).

3650444582400 is an abundant number, since it is smaller than the sum of its proper divisors (13054806927360).

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

3650444582400 is a wasteful number, since it uses less digits than its factorization.

3650444582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137232 (or 137205 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 3650444582400 in words is "three trillion, six hundred fifty billion, four hundred forty-four million, five hundred eighty-two thousand, four hundred".