3776988240 has 240 divisors, whose sum is σ = 13456460160. Its totient is φ = 947358720.

The previous prime is 3776988233. The next prime is 3776988251. The reversal of 3776988240 is 428896773.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1008291 + ... + 1012029.

It is an arithmetic number, because the mean of its divisors is an integer number (56068584).

Almost surely, 2^3776988240 is an apocalyptic number.

3776988240 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 3776988240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6728230080).

3776988240 is an abundant number, since it is smaller than the sum of its proper divisors (9679471920).

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

3776988240 is a wasteful number, since it uses less digits than its factorization.

3776988240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3842 (or 3833 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 3776988240 is about 61457.2065749819. The cubic root of 3776988240 is about 1557.3344024793.

It can be divided in two parts, 3776 and 988240, that added together give a square (992016 = 996²).

The spelling of 3776988240 in words is "three billion, seven hundred seventy-six million, nine hundred eighty-eight thousand, two hundred forty".