3796408800 has 432 divisors, whose sum is σ = 14068349568. Its totient is φ = 962150400.

The previous prime is 3796408793. The next prime is 3796408813. The reversal of 3796408800 is 88046973.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16293484 + ... + 16293716.

It is an arithmetic number, because the mean of its divisors is an integer number (32565624).

Almost surely, 2^3796408800 is an apocalyptic number.

3796408800 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 3796408800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7034174784).

3796408800 is an abundant number, since it is smaller than the sum of its proper divisors (10271940768).

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

3796408800 is a wasteful number, since it uses less digits than its factorization.

3796408800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3796408800 is about 61615.0046660714. The cubic root of 3796408800 is about 1559.9990138061. Note that the first 3 decimals are identical.

The spelling of 3796408800 in words is "three billion, seven hundred ninety-six million, four hundred eight thousand, eight hundred".