3776631840 has 144 divisors (see below), whose sum is σ = 12954149208. Its totient is φ = 1001914368.

The previous prime is 3776631839. The next prime is 3776631869. The reversal of 3776631840 is 481366773.

3776631840 is a `hidden beast` number, since 3 + 7 + 7 + 6 + 631 + 8 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3601440144 + 175191696 = 60012^2 + 13236^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277024 + ... + 290336.

Almost surely, 2^3776631840 is an apocalyptic number.

3776631840 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 3776631840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6477074604).

3776631840 is an abundant number, since it is smaller than the sum of its proper divisors (9177517368).

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

3776631840 is a wasteful number, since it uses less digits than its factorization.

3776631840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13531 (or 13520 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 3776631840 is about 61454.3069279933. The cubic root of 3776631840 is about 1557.2854171145.

The spelling of 3776631840 in words is "three billion, seven hundred seventy-six million, six hundred thirty-one thousand, eight hundred forty".