3773249809056 has 1008 divisors, whose sum is σ = 14404677009408. Its totient is φ = 962923852800.

The previous prime is 3773249809051. The next prime is 3773249809073. The reversal of 3773249809056 is 6509089423773.

3773249809056 is a `hidden beast` number, since 3 + 7 + 7 + 3 + 2 + 498 + 0 + 90 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×3773249809056² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 3773249808984 and 3773249809002.

It is not an unprimeable number, because it can be changed into a prime (3773249809051) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 460653921 + ... + 460662111.

It is an arithmetic number, because the mean of its divisors is an integer number (14290354176).

Almost surely, 2^{3773249809056} is an apocalyptic number.

3773249809056 is a gapful number since it is divisible by the number (36) 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 3773249809056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7202338504704).

3773249809056 is an abundant number, since it is smaller than the sum of its proper divisors (10631427200352).

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

3773249809056 is a wasteful number, since it uses less digits than its factorization.

3773249809056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8277 (or 8247 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 3773249809056 in words is "three trillion, seven hundred seventy-three billion, two hundred forty-nine million, eight hundred nine thousand, fifty-six".