3836403829440 has 1344 divisors, whose sum is σ = 17386580090880. Its totient is φ = 783283322880.

The previous prime is 3836403829439. The next prime is 3836403829441. The reversal of 3836403829440 is 449283046383.

3836403829440 is a `hidden beast` number, since 3 + 8 + 36 + 403 + 82 + 94 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3836403829439) and next prime (3836403829441).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×3836403829440² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3836403829441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 219352216 + ... + 219369704.

It is an arithmetic number, because the mean of its divisors is an integer number (12936443520).

Almost surely, 2^{3836403829440} is an apocalyptic number.

3836403829440 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 3836403829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8693290045440).

3836403829440 is an abundant number, since it is smaller than the sum of its proper divisors (13550176261440).

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

3836403829440 is a wasteful number, since it uses less digits than its factorization.

3836403829440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17572 (or 17550 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 3836403829440 in words is "three trillion, eight hundred thirty-six billion, four hundred three million, eight hundred twenty-nine thousand, four hundred forty".