3772390644000 has 3840 divisors, whose sum is σ = 17569539187200. Its totient is φ = 780337152000.

The previous prime is 3772390643977. The next prime is 3772390644007. The reversal of 3772390644000 is 4460932773.

3772390644000 is a `hidden beast` number, since 3 + 7 + 7 + 239 + 0 + 6 + 4 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3772390644007) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 33383987944 + ... + 33383988056.

It is an arithmetic number, because the mean of its divisors is an integer number (4575400830).

Almost surely, 2^{3772390644000} is an apocalyptic number.

3772390644000 is a gapful number since it is divisible by the number (30) 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 3772390644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8784769593600).

3772390644000 is an abundant number, since it is smaller than the sum of its proper divisors (13797148543200).

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

3772390644000 is a wasteful number, since it uses less digits than its factorization.

3772390644000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 3772390644000 in words is "three trillion, seven hundred seventy-two billion, three hundred ninety million, six hundred forty-four thousand".