3864780377640 has 1536 divisors, whose sum is σ = 17124370099200. Its totient is φ = 733118791680.

The previous prime is 3864780377609. The next prime is 3864780377641. The reversal of 3864780377640 is 467730874683.

It is a happy number.

3864780377640 is a `hidden beast` number, since 38 + 6 + 478 + 0 + 3 + 77 + 64 + 0 = 666.

3864780377640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3864780377641) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 944239434 + ... + 944243526.

It is an arithmetic number, because the mean of its divisors is an integer number (11148678450).

Almost surely, 2^{3864780377640} is an apocalyptic number.

3864780377640 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 3864780377640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8562185049600).

3864780377640 is an abundant number, since it is smaller than the sum of its proper divisors (13259589721560).

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

3864780377640 is a wasteful number, since it uses less digits than its factorization.

3864780377640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4227 (or 4220 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 63.

The spelling of 3864780377640 in words is "three trillion, eight hundred sixty-four billion, seven hundred eighty million, three hundred seventy-seven thousand, six hundred forty".