3706773772000 has 384 divisors, whose sum is σ = 10424066784768. Its totient is φ = 1283309568000.

The previous prime is 3706773771941. The next prime is 3706773772001. The reversal of 3706773772000 is 2773776073.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3706773772001) 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 63 ways as a sum of consecutive naturals, for example, 239556264 + ... + 239571736.

It is an arithmetic number, because the mean of its divisors is an integer number (27146007252).

Almost surely, 2^{3706773772000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3706773772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5212033392384).

3706773772000 is an abundant number, since it is smaller than the sum of its proper divisors (6717293012768).

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

3706773772000 is a wasteful number, since it uses less digits than its factorization.

3706773772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15799 (or 15781 counting only the distinct ones).

The product of its (nonzero) digits is 1815156, while the sum is 49.

The spelling of 3706773772000 in words is "three trillion, seven hundred six billion, seven hundred seventy-three million, seven hundred seventy-two thousand".