3811631040 has 896 divisors, whose sum is σ = 16854220800. Its totient is φ = 791285760.

The previous prime is 3811631023. The next prime is 3811631053. The reversal of 3811631040 is 401361183.

3811631040 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 3811630995 and 3811631013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35622667 + ... + 35622773.

Almost surely, 2^3811631040 is an apocalyptic number.

3811631040 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 3811631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8427110400).

3811631040 is an abundant number, since it is smaller than the sum of its proper divisors (13042589760).

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

3811631040 is a wasteful number, since it uses less digits than its factorization.

3811631040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3811631040 is about 61738.4081427437. The cubic root of 3811631040 is about 1562.0812457774.

The spelling of 3811631040 in words is "three billion, eight hundred eleven million, six hundred thirty-one thousand, forty".