3793152000 has 384 divisors, whose sum is σ = 13798512000. Its totient is φ = 917504000.

The previous prime is 3793151987. The next prime is 3793152007. The reversal of 3793152000 is 2513973.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3793152007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8447776 + ... + 8448224.

It is an arithmetic number, because the mean of its divisors is an integer number (35933625).

Almost surely, 2^3793152000 is an apocalyptic number.

3793152000 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 3793152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6899256000).

3793152000 is an abundant number, since it is smaller than the sum of its proper divisors (10005360000).

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

3793152000 is a wasteful number, since it uses less digits than its factorization.

3793152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 3793152000 is about 61588.5703682104. The cubic root of 3793152000 is about 1559.5527975203.

Adding to 3793152000 its reverse (2513973), we get a palindrome (3795665973).

The spelling of 3793152000 in words is "three billion, seven hundred ninety-three million, one hundred fifty-two thousand".