3796884000 has 1152 divisors, whose sum is σ = 17743864320. Its totient is φ = 746496000.

The previous prime is 3796883983. The next prime is 3796884029. The reversal of 3796884000 is 4886973.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62243970 + ... + 62244030.

It is an arithmetic number, because the mean of its divisors is an integer number (15402660).

Almost surely, 2^3796884000 is an apocalyptic number.

3796884000 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 3796884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8871932160).

3796884000 is an abundant number, since it is smaller than the sum of its proper divisors (13946980320).

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

3796884000 is a wasteful number, since it uses less digits than its factorization.

3796884000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 110 counting only the distinct ones).

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

The square root of 3796884000 is about 61618.8607489622. The cubic root of 3796884000 is about 1560.0640999302.

The spelling of 3796884000 in words is "three billion, seven hundred ninety-six million, eight hundred eighty-four thousand".