3777224048640 has 1632 divisors, whose sum is σ = 16252971770880. Its totient is φ = 791817486336.

The previous prime is 3777224048629. The next prime is 3777224048701. The reversal of 3777224048640 is 468404227773.

3777224048640 is a `hidden beast` number, since 3 + 77 + 72 + 24 + 0 + 486 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1632).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16494428046 + ... + 16494428274.

Almost surely, 2^{3777224048640} is an apocalyptic number.

3777224048640 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 3777224048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8126485885440).

3777224048640 is an abundant number, since it is smaller than the sum of its proper divisors (12475747722240).

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

3777224048640 is a wasteful number, since it uses less digits than its factorization.

3777224048640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 54.

The spelling of 3777224048640 in words is "three trillion, seven hundred seventy-seven billion, two hundred twenty-four million, forty-eight thousand, six hundred forty".