3832229081664 has 693 divisors, whose sum is σ = 12270193153113. Its totient is φ = 1187344065024.

The previous prime is 3832229081657. The next prime is 3832229081671. The reversal of 3832229081664 is 4661809222383.

The square root of 3832229081664 is 1957608.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (3832229081657) and next prime (3832229081671).

It can be written as a sum of positive squares in only one way, i.e., 2762642894400 + 1069586187264 = 1662120^2 + 1034208^2 .

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 3832229081664.

It is an unprimeable number.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 72306209062 + ... + 72306209114.

Almost surely, 2^{3832229081664} is an apocalyptic number.

3832229081664 is the 1957608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3832229081664

3832229081664 is an abundant number, since it is smaller than the sum of its proper divisors (8437964071449).

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

3832229081664 is an frugal number, since it uses more digits than its factorization.

3832229081664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 3832229081664 in words is "three trillion, eight hundred thirty-two billion, two hundred twenty-nine million, eighty-one thousand, six hundred sixty-four".