3782529450 has 288 divisors, whose sum is σ = 12284213760. Its totient is φ = 816076800.

The previous prime is 3782529431. The next prime is 3782529467. The reversal of 3782529450 is 549252873.

3782529450 is a `hidden beast` number, since 3 + 7 + 82 + 529 + 45 + 0 = 666.

3782529450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3782529396 and 3782529405.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4293010 + ... + 4293890.

It is an arithmetic number, because the mean of its divisors is an integer number (42653520).

Almost surely, 2^3782529450 is an apocalyptic number.

3782529450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3782529450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6142106880).

3782529450 is an abundant number, since it is smaller than the sum of its proper divisors (8501684310).

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

3782529450 is a wasteful number, since it uses less digits than its factorization.

3782529450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 3782529450 is about 61502.2719092555. The cubic root of 3782529450 is about 1558.0956174772.

The spelling of 3782529450 in words is "three billion, seven hundred eighty-two million, five hundred twenty-nine thousand, four hundred fifty".