3620694448800 has 2304 divisors, whose sum is σ = 16609201943040. Its totient is φ = 747601920000.

The previous prime is 3620694448799. The next prime is 3620694448829. The reversal of 3620694448800 is 88444960263.

3620694448800 is a `hidden beast` number, since 3 + 62 + 0 + 69 + 4 + 448 + 80 + 0 = 666.

It is a super-2 number, since 2×3620694448800² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2783008150 + ... + 2783009450.

It is an arithmetic number, because the mean of its divisors is an integer number (7208855010).

Almost surely, 2^{3620694448800} is an apocalyptic number.

3620694448800 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 3620694448800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8304600971520).

3620694448800 is an abundant number, since it is smaller than the sum of its proper divisors (12988507494240).

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

3620694448800 is a wasteful number, since it uses less digits than its factorization.

3620694448800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 3620694448800 in words is "three trillion, six hundred twenty billion, six hundred ninety-four million, four hundred forty-eight thousand, eight hundred".