3884774400 has 396 divisors, whose sum is σ = 14990827852. Its totient is φ = 955514880.

The previous prime is 3884774353. The next prime is 3884774417. The reversal of 3884774400 is 44774883.

It can be written as a sum of positive squares in 6 ways, for example, as 2985984 + 3881788416 = 1728^2 + 62304^2 .

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 35 ways as a sum of consecutive naturals, for example, 2994552 + ... + 2995848.

Almost surely, 2^3884774400 is an apocalyptic number.

3884774400 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 3884774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7495413926).

3884774400 is an abundant number, since it is smaller than the sum of its proper divisors (11106053452).

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

3884774400 is a wasteful number, since it uses less digits than its factorization.

3884774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 3884774400 is about 62327.9584135402. The cubic root of 3884774400 is about 1572.0098672729.

The spelling of 3884774400 in words is "three billion, eight hundred eighty-four million, seven hundred seventy-four thousand, four hundred".