3788648640 has 840 divisors, whose sum is σ = 16607424240. Its totient is φ = 815173632.

The previous prime is 3788648629. The next prime is 3788648657. The reversal of 3788648640 is 468468873.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 24131442 + ... + 24131598.

Almost surely, 2^3788648640 is an apocalyptic number.

3788648640 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 3788648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8303712120).

3788648640 is an abundant number, since it is smaller than the sum of its proper divisors (12818775600).

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

3788648640 is a wasteful number, since it uses less digits than its factorization.

3788648640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The square root of 3788648640 is about 61551.9994801144. Note that the first 3 decimals coincide. The cubic root of 3788648640 is about 1558.9353682753.

The spelling of 3788648640 in words is "three billion, seven hundred eighty-eight million, six hundred forty-eight thousand, six hundred forty".