3791406528000 has 4480 divisors, whose sum is σ = 18754679623680. Its totient is φ = 741718425600.

The previous prime is 3791406527947. The next prime is 3791406528029. The reversal of 3791406528000 is 8256041973.

3791406528000 is a `hidden beast` number, since 37 + 91 + 4 + 0 + 6 + 528 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

It is a super-2 number, since 2×3791406528000² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 80668223977 + ... + 80668224023.

It is an arithmetic number, because the mean of its divisors is an integer number (4186312416).

It is a 1-persistent number, because it is pandigital, but 2⋅3791406528000 = 7582813056000 is not.

Almost surely, 2^{3791406528000} is an apocalyptic number.

3791406528000 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 3791406528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9377339811840).

3791406528000 is an abundant number, since it is smaller than the sum of its proper divisors (14963273095680).

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

3791406528000 is an equidigital number, since it uses as much as digits as its factorization.

3791406528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 3791406528000 in words is "three trillion, seven hundred ninety-one billion, four hundred six million, five hundred twenty-eight thousand".