3768422400 has 624 divisors, whose sum is σ = 14625849600. Its totient is φ = 949616640.

The previous prime is 3768422389. The next prime is 3768422459. The reversal of 3768422400 is 42248673.

3768422400 is a `hidden beast` number, since 376 + 8 + 42 + 240 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80179177 + ... + 80179223.

Almost surely, 2^3768422400 is an apocalyptic number.

3768422400 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 3768422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7312924800).

3768422400 is an abundant number, since it is smaller than the sum of its proper divisors (10857427200).

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

3768422400 is a wasteful number, since it uses less digits than its factorization.

3768422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3768422400 is about 61387.4775503930. The cubic root of 3768422400 is about 1556.1562173127.

The spelling of 3768422400 in words is "three billion, seven hundred sixty-eight million, four hundred twenty-two thousand, four hundred".