3778948800 has 252 divisors, whose sum is σ = 14652915576. Its totient is φ = 916070400.

The previous prime is 3778948799. The next prime is 3778948837. The reversal of 3778948800 is 88498773.

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, 146472 + ... + 170328.

Almost surely, 2^3778948800 is an apocalyptic number.

3778948800 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 3778948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7326457788).

3778948800 is an abundant number, since it is smaller than the sum of its proper divisors (10873966776).

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

3778948800 is a wasteful number, since it uses less digits than its factorization.

3778948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23896 (or 23878 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 3778948800 is about 61473.1551166849. The cubic root of 3778948800 is about 1557.6038163792.

The spelling of 3778948800 in words is "three billion, seven hundred seventy-eight million, nine hundred forty-eight thousand, eight hundred".