3774628408320 has 3168 divisors, whose sum is σ = 17899473166848. Its totient is φ = 740524032000.

The previous prime is 3774628408267. The next prime is 3774628408321. The reversal of 3774628408320 is 238048264773.

It is a happy number.

3774628408320 is a `hidden beast` number, since 3 + 7 + 7 + 4 + 628 + 4 + 0 + 8 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3774628408321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 92064107500 + ... + 92064107540.

Almost surely, 2^{3774628408320} is an apocalyptic number.

3774628408320 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 3774628408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8949736583424).

3774628408320 is an abundant number, since it is smaller than the sum of its proper divisors (14124844758528).

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

3774628408320 is a wasteful number, since it uses less digits than its factorization.

3774628408320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 3774628408320 in words is "three trillion, seven hundred seventy-four billion, six hundred twenty-eight million, four hundred eight thousand, three hundred twenty".