3782145911076 has 135 divisors (see below), whose sum is σ = 10707629196033. Its totient is φ = 1163597179680.

The previous prime is 3782145910981. The next prime is 3782145911081. The reversal of 3782145911076 is 6701195412873.

The square root of 3782145911076 is 1944774.

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

3782145911076 is a `hidden beast` number, since 3 + 7 + 8 + 2 + 1 + 459 + 110 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 559489040100 + 3222656870976 = 747990^2 + 1795176^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 455072961 + ... + 455081271.

It is a 1-persistent number, because it is pandigital, but 2⋅3782145911076 = 7564291822152 is not.

Almost surely, 2^{3782145911076} is an apocalyptic number.

3782145911076 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3782145911076 is the 1944774-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3782145911076

3782145911076 is an abundant number, since it is smaller than the sum of its proper divisors (6925483284957).

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

3782145911076 is an frugal number, since it uses more digits than its factorization.

3782145911076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16664 (or 8329 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 3782145911076 in words is "three trillion, seven hundred eighty-two billion, one hundred forty-five million, nine hundred eleven thousand, seventy-six".