3633483951360 has 720 divisors, whose sum is σ = 14490713160000. Its totient is φ = 863928778752.

The previous prime is 3633483951359. The next prime is 3633483951367. The reversal of 3633483951360 is 631593843363.

3633483951360 is a `hidden beast` number, since 3 + 6 + 3 + 3 + 483 + 95 + 13 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3633483951297 and 3633483951306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3633483951367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33434391 + ... + 33542889.

It is an arithmetic number, because the mean of its divisors is an integer number (20125990500).

Almost surely, 2^{3633483951360} is an apocalyptic number.

3633483951360 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 3633483951360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7245356580000).

3633483951360 is an abundant number, since it is smaller than the sum of its proper divisors (10857229208640).

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

3633483951360 is a wasteful number, since it uses less digits than its factorization.

3633483951360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108568 (or 108545 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 54.

The spelling of 3633483951360 in words is "three trillion, six hundred thirty-three billion, four hundred eighty-three million, nine hundred fifty-one thousand, three hundred sixty".