3791526640832 has 224 divisors, whose sum is σ = 9458736967680. Its totient is φ = 1470302254080.

The previous prime is 3791526640801. The next prime is 3791526640849. The reversal of 3791526640832 is 2380466251973.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135267203 + ... + 135295229.

It is an arithmetic number, because the mean of its divisors is an integer number (42226504320).

It is a 1-persistent number, because it is pandigital, but 2⋅3791526640832 = 7583053281664 is not.

Almost surely, 2^{3791526640832} is an apocalyptic number.

3791526640832 is a gapful number since it is divisible by the number (32) 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 3791526640832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4729368483840).

3791526640832 is an abundant number, since it is smaller than the sum of its proper divisors (5667210326848).

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

3791526640832 is a wasteful number, since it uses less digits than its factorization.

3791526640832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28779 (or 28769 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 56.

The spelling of 3791526640832 in words is "three trillion, seven hundred ninety-one billion, five hundred twenty-six million, six hundred forty thousand, eight hundred thirty-two".