3788144640 has 384 divisors, whose sum is σ = 15048933120. Its totient is φ = 863502336.

The previous prime is 3788144639. The next prime is 3788144653. The reversal of 3788144640 is 464418873.

It is a tau number, because it is divible by the number of its divisors (384).

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 23 ways as a sum of consecutive naturals, for example, 10321737 + ... + 10322103.

It is an arithmetic number, because the mean of its divisors is an integer number (39189930).

Almost surely, 2^3788144640 is an apocalyptic number.

3788144640 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 3788144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7524466560).

3788144640 is an abundant number, since it is smaller than the sum of its proper divisors (11260788480).

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

3788144640 is an equidigital number, since it uses as much as digits as its factorization.

3788144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 3788144640 is about 61547.9052446141. The cubic root of 3788144640 is about 1558.8662373579.

The spelling of 3788144640 in words is "three billion, seven hundred eighty-eight million, one hundred forty-four thousand, six hundred forty".