3813185376 has 384 divisors, whose sum is σ = 14936140800. Its totient is φ = 914042880.

The previous prime is 3813185371. The next prime is 3813185401. The reversal of 3813185376 is 6735813183.

3813185376 is a `hidden beast` number, since 3 + 81 + 31 + 8 + 537 + 6 = 666.

It is a super-2 number, since 2×3813185376² = 29080765423480522752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3813185371) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 862660 + ... + 867068.

It is an arithmetic number, because the mean of its divisors is an integer number (38896200).

Almost surely, 2^3813185376 is an apocalyptic number.

3813185376 is a gapful number since it is divisible by the number (36) 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 3813185376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7468070400).

3813185376 is an abundant number, since it is smaller than the sum of its proper divisors (11122955424).

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

3813185376 is a wasteful number, since it uses less digits than its factorization.

3813185376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4459 (or 4445 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 3813185376 is about 61750.9949393530. The cubic root of 3813185376 is about 1562.2935493931.

The spelling of 3813185376 in words is "three billion, eight hundred thirteen million, one hundred eighty-five thousand, three hundred seventy-six".