3769322290272 has 288 divisors, whose sum is σ = 13366656785664. Its totient is φ = 978847257600.

The previous prime is 3769322290231. The next prime is 3769322290277. The reversal of 3769322290272 is 2720922239673.

3769322290272 is a `hidden beast` number, since 3 + 7 + 6 + 9 + 322 + 290 + 27 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3769322290277) 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 47 ways as a sum of consecutive naturals, for example, 133285798 + ... + 133314074.

It is an arithmetic number, because the mean of its divisors is an integer number (46412002728).

Almost surely, 2^{3769322290272} is an apocalyptic number.

3769322290272 is a gapful number since it is divisible by the number (32) 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 3769322290272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6683328392832).

3769322290272 is an abundant number, since it is smaller than the sum of its proper divisors (9597334495392).

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

3769322290272 is a wasteful number, since it uses less digits than its factorization.

3769322290272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34322 (or 34311 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 3769322290272 in words is "three trillion, seven hundred sixty-nine billion, three hundred twenty-two million, two hundred ninety thousand, two hundred seventy-two".