3806774400 has 768 divisors, whose sum is σ = 15299020800. Its totient is φ = 819609600.

The previous prime is 3806774383. The next prime is 3806774429. The reversal of 3806774400 is 44776083.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64521571 + ... + 64521629.

It is an arithmetic number, because the mean of its divisors is an integer number (19920600).

Almost surely, 2^3806774400 is an apocalyptic number.

3806774400 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 3806774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7649510400).

3806774400 is an abundant number, since it is smaller than the sum of its proper divisors (11492246400).

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

3806774400 is a wasteful number, since it uses less digits than its factorization.

3806774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 3806774400 is about 61699.0632019644. The cubic root of 3806774400 is about 1561.4175149846.

The spelling of 3806774400 in words is "three billion, eight hundred six million, seven hundred seventy-four thousand, four hundred".