3813409012032 has 224 divisors, whose sum is σ = 11318649488640. Its totient is φ = 1258950850560.

The previous prime is 3813409012013. The next prime is 3813409012033. The reversal of 3813409012032 is 2302109043183.

3813409012032 is a `hidden beast` number, since 3 + 81 + 340 + 90 + 120 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3813409012033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84350458 + ... + 84395654.

Almost surely, 2^{3813409012032} is an apocalyptic number.

3813409012032 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 3813409012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5659324744320).

3813409012032 is an abundant number, since it is smaller than the sum of its proper divisors (7505240476608).

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

3813409012032 is a wasteful number, since it uses less digits than its factorization.

3813409012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45686 (or 45670 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 3813409012032 in words is "three trillion, eight hundred thirteen billion, four hundred nine million, twelve thousand, thirty-two".