3788528640 has 176 divisors, whose sum is σ = 13050165408. Its totient is φ = 932511744.

The previous prime is 3788528633. The next prime is 3788528707. The reversal of 3788528640 is 468258873.

It is a happy number.

It is a super-2 number, since 2×3788528640² = 28705898512200499200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190194 + ... + 209166.

Almost surely, 2^3788528640 is an apocalyptic number.

3788528640 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 3788528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6525082704).

3788528640 is an abundant number, since it is smaller than the sum of its proper divisors (9261636768).

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

3788528640 is a wasteful number, since it uses less digits than its factorization.

3788528640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19014 (or 18996 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The square root of 3788528640 is about 61551.0246868401. The cubic root of 3788528640 is about 1558.9189090892.

The spelling of 3788528640 in words is "three billion, seven hundred eighty-eight million, five hundred twenty-eight thousand, six hundred forty".