376044226272 has 576 divisors, whose sum is σ = 1345011333120. Its totient is φ = 101784729600.

The previous prime is 376044226249. The next prime is 376044226273. The reversal of 376044226272 is 272622440673.

376044226272 is a `hidden beast` number, since 37 + 604 + 4 + 2 + 2 + 6 + 2 + 7 + 2 = 666.

It is a super-2 number, since 2×376044226272² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (376044226273) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34465554 + ... + 34476462.

It is an arithmetic number, because the mean of its divisors is an integer number (2335089120).

Almost surely, 2^376044226272 is an apocalyptic number.

376044226272 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 376044226272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672505666560).

376044226272 is an abundant number, since it is smaller than the sum of its proper divisors (968967106848).

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

376044226272 is a wasteful number, since it uses less digits than its factorization.

376044226272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10989 (or 10969 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 376044226272 in words is "three hundred seventy-six billion, forty-four million, two hundred twenty-six thousand, two hundred seventy-two".