3782894400 has 630 divisors, whose sum is σ = 14917269378. Its totient is φ = 940032000.

The previous prime is 3782894369. The next prime is 3782894419. The reversal of 3782894400 is 44982873.

It can be written as a sum of positive squares in 9 ways, for example, as 10969344 + 3771925056 = 3312^2 + 61416^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 37454350 + ... + 37454450.

Almost surely, 2^3782894400 is an apocalyptic number.

3782894400 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 3782894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7458634689).

3782894400 is an abundant number, since it is smaller than the sum of its proper divisors (11134374978).

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

3782894400 is a wasteful number, since it uses less digits than its factorization.

3782894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3782894400 is about 61505.2388012598. The cubic root of 3782894400 is about 1558.1457258079.

The spelling of 3782894400 in words is "three billion, seven hundred eighty-two million, eight hundred ninety-four thousand, four hundred".