3796780800 has 216 divisors, whose sum is σ = 12936394240. Its totient is φ = 979660800.

The previous prime is 3796780783. The next prime is 3796780807. The reversal of 3796780800 is 80876973.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3796780800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3796780807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 592011 + ... + 598389.

Almost surely, 2^3796780800 is an apocalyptic number.

3796780800 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 3796780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6468197120).

3796780800 is an abundant number, since it is smaller than the sum of its proper divisors (9139613440).

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

3796780800 is a wasteful number, since it uses less digits than its factorization.

3796780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6439 (or 6420 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 3796780800 is about 61618.0233373321. The cubic root of 3796780800 is about 1560.0499655265.

The spelling of 3796780800 in words is "three billion, seven hundred ninety-six million, seven hundred eighty thousand, eight hundred".