3792528000 has 256 divisors, whose sum is σ = 13970736000. Its totient is φ = 1011225600.

The previous prime is 3792527993. The next prime is 3792528007. The reversal of 3792528000 is 8252973.

It is a happy number.

3792528000 is a `hidden beast` number, since 379 + 2 + 5 + 280 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3792527993) and next prime (3792528007).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3792528007) 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, 427611 + ... + 436389.

Almost surely, 2^3792528000 is an apocalyptic number.

3792528000 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 3792528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6985368000).

3792528000 is an abundant number, since it is smaller than the sum of its proper divisors (10178208000).

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

3792528000 is an equidigital number, since it uses as much as digits as its factorization.

3792528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8817 (or 8789 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3792528000 is about 61583.5042848326. The cubic root of 3792528000 is about 1559.4672737207.

The spelling of 3792528000 in words is "three billion, seven hundred ninety-two million, five hundred twenty-eight thousand".