3781086400 has 168 divisors, whose sum is σ = 11451315680. Its totient is φ = 1196605440.

The previous prime is 3781086389. The next prime is 3781086401. The reversal of 3781086400 is 46801873.

It is a happy number.

It is a super-2 number, since 2×3781086400² = 28593228728529920000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3781086400.

It is not an unprimeable number, because it can be changed into a prime (3781086401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132616 + ... + 158584.

Almost surely, 2^3781086400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3781086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5725657840).

3781086400 is an abundant number, since it is smaller than the sum of its proper divisors (7670229280).

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

3781086400 is a wasteful number, since it uses less digits than its factorization.

3781086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26011 (or 25996 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 3781086400 is about 61490.5391096874. The cubic root of 3781086400 is about 1557.8974523872.

The spelling of 3781086400 in words is "three billion, seven hundred eighty-one million, eighty-six thousand, four hundred".