3768374400 has 288 divisors, whose sum is σ = 14440348080. Its totient is φ = 861235200.

The previous prime is 3768374399. The next prime is 3768374501. The reversal of 3768374400 is 44738673.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 466395 + ... + 474405.

Almost surely, 2^3768374400 is an apocalyptic number.

3768374400 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 3768374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7220174040).

3768374400 is an abundant number, since it is smaller than the sum of its proper divisors (10671973680).

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

3768374400 is a wasteful number, since it uses less digits than its factorization.

3768374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8052 (or 8028 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The square root of 3768374400 is about 61387.0865899336. The cubic root of 3768374400 is about 1556.1496101433.

The spelling of 3768374400 in words is "three billion, seven hundred sixty-eight million, three hundred seventy-four thousand, four hundred".