3762419840 has 64 divisors (see below), whose sum is σ = 9128885760. Its totient is φ = 1482488832.

The previous prime is 3762419839. The next prime is 3762419887. The reversal of 3762419840 is 489142673.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 3762419791 and 3762419800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 992 + ... + 86751.

It is an arithmetic number, because the mean of its divisors is an integer number (142638840).

Almost surely, 2^3762419840 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 3762419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4564442880).

3762419840 is an abundant number, since it is smaller than the sum of its proper divisors (5366465920).

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

3762419840 is an equidigital number, since it uses as much as digits as its factorization.

3762419840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87829 (or 87817 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 3762419840 is about 61338.5673129068. The cubic root of 3762419840 is about 1555.3295331771.

The spelling of 3762419840 in words is "three billion, seven hundred sixty-two million, four hundred nineteen thousand, eight hundred forty".