3788646400 has 432 divisors, whose sum is σ = 12101412960. Its totient is φ = 1142784000.

The previous prime is 3788646383. The next prime is 3788646427. The reversal of 3788646400 is 46468873.

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, 122214385 + ... + 122214415.

It is an arithmetic number, because the mean of its divisors is an integer number (28012530).

Almost surely, 2^3788646400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3788646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6050706480).

3788646400 is an abundant number, since it is smaller than the sum of its proper divisors (8312766560).

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

3788646400 is a wasteful number, since it uses less digits than its factorization.

3788646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The square root of 3788646400 is about 61551.9812841146. The cubic root of 3788646400 is about 1558.9350610403.

The spelling of 3788646400 in words is "three billion, seven hundred eighty-eight million, six hundred forty-six thousand, four hundred".