3764664481032 has 864 divisors, whose sum is σ = 13398204619800. Its totient is φ = 982817224704.

The previous prime is 3764664481027. The next prime is 3764664481033. The reversal of 3764664481032 is 2301844664673.

3764664481032 is a `hidden beast` number, since 3 + 76 + 4 + 6 + 64 + 481 + 0 + 32 = 666.

3764664481032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3633804312516 + 130860168516 = 1906254^2 + 361746^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3764664481032.

It is not an unprimeable number, because it can be changed into a prime (3764664481033) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3644398788 + ... + 3644399820.

Almost surely, 2^{3764664481032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3764664481032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6699102309900).

3764664481032 is an abundant number, since it is smaller than the sum of its proper divisors (9633540138768).

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

3764664481032 is a wasteful number, since it uses less digits than its factorization.

3764664481032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 3764664481032 in words is "three trillion, seven hundred sixty-four billion, six hundred sixty-four million, four hundred eighty-one thousand, thirty-two".