3772944953648 has 160 divisors (see below), whose sum is σ = 8329641868800. Its totient is φ = 1641183510528.

The previous prime is 3772944953647. The next prime is 3772944953663. The reversal of 3772944953648 is 8463594492773.

It is a Cunningham number, because it is equal to 1942407²-1.

It is a super-2 number, since 2×3772944953648² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3772944953647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 998395823 + ... + 998399601.

It is an arithmetic number, because the mean of its divisors is an integer number (52060261680).

Almost surely, 2^{3772944953648} is an apocalyptic number.

3772944953648 is a gapful number since it is divisible by the number (38) 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 3772944953648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4164820934400).

3772944953648 is an abundant number, since it is smaller than the sum of its proper divisors (4556696915152).

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

3772944953648 is a wasteful number, since it uses less digits than its factorization.

3772944953648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5059 (or 5053 counting only the distinct ones).

The product of its digits is 1097349120, while the sum is 71.

The spelling of 3772944953648 in words is "three trillion, seven hundred seventy-two billion, nine hundred forty-four million, nine hundred fifty-three thousand, six hundred forty-eight".