3796011433200 has 480 divisors, whose sum is σ = 14368576780800. Its totient is φ = 838533427200.

The previous prime is 3796011433199. The next prime is 3796011433219. The reversal of 3796011433200 is 23341106973.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46268215 + ... + 46350185.

It is an arithmetic number, because the mean of its divisors is an integer number (29934534960).

Almost surely, 2^{3796011433200} is an apocalyptic number.

3796011433200 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 3796011433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7184288390400).

3796011433200 is an abundant number, since it is smaller than the sum of its proper divisors (10572565347600).

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

3796011433200 is a wasteful number, since it uses less digits than its factorization.

3796011433200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82185 (or 82174 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The spelling of 3796011433200 in words is "three trillion, seven hundred ninety-six billion, eleven million, four hundred thirty-three thousand, two hundred".