3781631040 has 112 divisors (see below), whose sum is σ = 13098231360. Its totient is φ = 916756480.

The previous prime is 3781631017. The next prime is 3781631041. The reversal of 3781631040 is 401361873.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 3781630992 and 3781631010.

It is not an unprimeable number, because it can be changed into a prime (3781631041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168495 + ... + 189614.

Almost surely, 2^3781631040 is an apocalyptic number.

3781631040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3781631040 is an abundant number, since it is smaller than the sum of its proper divisors (9316600320).

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

3781631040 is a wasteful number, since it uses less digits than its factorization.

3781631040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358140 (or 358130 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 3781631040 is about 61494.9675989833. The cubic root of 3781631040 is about 1557.9722503370.

The spelling of 3781631040 in words is "three billion, seven hundred eighty-one million, six hundred thirty-one thousand, forty".