3772784669472 has 960 divisors, whose sum is σ = 14431956295680. Its totient is φ = 939604064256.

The previous prime is 3772784669471. The next prime is 3772784669509. The reversal of 3772784669472 is 2749664872773.

3772784669472 is a `hidden beast` number, since 3 + 7 + 7 + 2 + 7 + 8 + 466 + 94 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3772784669472.

It is not an unprimeable number, because it can be changed into a prime (3772784669471) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 428575023 + ... + 428583825.

It is an arithmetic number, because the mean of its divisors is an integer number (15033287808).

Almost surely, 2^{3772784669472} is an apocalyptic number.

3772784669472 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 3772784669472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7215978147840).

3772784669472 is an abundant number, since it is smaller than the sum of its proper divisors (10659171626208).

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

3772784669472 is a wasteful number, since it uses less digits than its factorization.

3772784669472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8947 (or 8930 counting only the distinct ones).

The product of its digits is 1194891264, while the sum is 72.

The spelling of 3772784669472 in words is "three trillion, seven hundred seventy-two billion, seven hundred eighty-four million, six hundred sixty-nine thousand, four hundred seventy-two".