3768320640 has 256 divisors, whose sum is σ = 14535832320. Its totient is φ = 810614784.

The previous prime is 3768320629. The next prime is 3768320653. The reversal of 3768320640 is 460238673.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220234 + ... + 236726.

It is an arithmetic number, because the mean of its divisors is an integer number (56780595).

Almost surely, 2^3768320640 is an apocalyptic number.

3768320640 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 3768320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7267916160).

3768320640 is an abundant number, since it is smaller than the sum of its proper divisors (10767511680).

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

3768320640 is a wasteful number, since it uses less digits than its factorization.

3768320640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16539 (or 16527 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 3768320640 is about 61386.6487112629. The cubic root of 3768320640 is about 1556.1422100470.

The spelling of 3768320640 in words is "three billion, seven hundred sixty-eight million, three hundred twenty thousand, six hundred forty".