3779008800 has 288 divisors, whose sum is σ = 14799052800. Its totient is φ = 818242560.

The previous prime is 3779008769. The next prime is 3779008817. The reversal of 3779008800 is 88009773.

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

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, 313281 + ... + 325119.

It is an arithmetic number, because the mean of its divisors is an integer number (51385600).

Almost surely, 2^3779008800 is an apocalyptic number.

3779008800 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 3779008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7399526400).

3779008800 is an abundant number, since it is smaller than the sum of its proper divisors (11020044000).

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

3779008800 is a wasteful number, since it uses less digits than its factorization.

3779008800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11888 (or 11875 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 3779008800 is about 61473.6431326467. The cubic root of 3779008800 is about 1557.6120599181.

The spelling of 3779008800 in words is "three billion, seven hundred seventy-nine million, eight thousand, eight hundred".