3776984064 has 264 divisors, whose sum is σ = 12589344768. Its totient is φ = 1068318720.

The previous prime is 3776984059. The next prime is 3776984069. The reversal of 3776984064 is 4604896773.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3776984059) and next prime (3776984069).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3776984064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3776984069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8192794 + ... + 8193254.

It is an arithmetic number, because the mean of its divisors is an integer number (47686912).

Almost surely, 2^3776984064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3776984064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6294672384).

3776984064 is an abundant number, since it is smaller than the sum of its proper divisors (8812360704).

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

3776984064 is a wasteful number, since it uses less digits than its factorization.

3776984064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The square root of 3776984064 is about 61457.1726001123. The cubic root of 3776984064 is about 1557.3338285272. Note that the first 3 decimals are identical.

The spelling of 3776984064 in words is "three billion, seven hundred seventy-six million, nine hundred eighty-four thousand, sixty-four".