3774781440 has 576 divisors, whose sum is σ = 14273794080. Its totient is φ = 955514880.

The previous prime is 3774781427. The next prime is 3774781441. The reversal of 3774781440 is 441874773.

3774781440 is a `hidden beast` number, since 37 + 7 + 478 + 144 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3774781441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92067820 + ... + 92067860.

Almost surely, 2^3774781440 is an apocalyptic number.

3774781440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3774781440 is the 30720-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3774781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7136897040).

3774781440 is an abundant number, since it is smaller than the sum of its proper divisors (10499012640).

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

3774781440 is an equidigital number, since it uses as much as digits as its factorization.

3774781440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 3774781440 is about 61439.2499954223. The cubic root of 3774781440 is about 1557.0310395095.

The spelling of 3774781440 in words is "three billion, seven hundred seventy-four million, seven hundred eighty-one thousand, four hundred forty".