3778963200 has 432 divisors, whose sum is σ = 14599065600. Its totient is φ = 953856000.

The previous prime is 3778963193. The next prime is 3778963247. The reversal of 3778963200 is 23698773.

It is a happy number.

3778963200 is a `hidden beast` number, since 3 + 7 + 7 + 8 + 9 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 3282625 + ... + 3283775.

Almost surely, 2^3778963200 is an apocalyptic number.

3778963200 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 3778963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7299532800).

3778963200 is an abundant number, since it is smaller than the sum of its proper divisors (10820102400).

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

3778963200 is a wasteful number, since it uses less digits than its factorization.

3778963200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 3778963200 is about 61473.2722408690. The cubic root of 3778963200 is about 1557.6057948365.

The spelling of 3778963200 in words is "three billion, seven hundred seventy-eight million, nine hundred sixty-three thousand, two hundred".