3814083501632 has 112 divisors (see below), whose sum is σ = 7986317052480. Its totient is φ = 1802277734400.

The previous prime is 3814083501619. The next prime is 3814083501637. The reversal of 3814083501632 is 2361053804183.

It is not an unprimeable number, because it can be changed into a prime (3814083501637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1629252782 + ... + 1629255122.

Almost surely, 2^{3814083501632} is an apocalyptic number.

3814083501632 is a gapful number since it is divisible by the number (32) 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 3814083501632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3993158526240).

3814083501632 is an abundant number, since it is smaller than the sum of its proper divisors (4172233550848).

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

3814083501632 is a wasteful number, since it uses less digits than its factorization.

3814083501632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5060 (or 5050 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 3814083501632 in words is "three trillion, eight hundred fourteen billion, eighty-three million, five hundred one thousand, six hundred thirty-two".