3768419040 has 96 divisors (see below), whose sum is σ = 11887948800. Its totient is φ = 1003436544.

The previous prime is 3768419027. The next prime is 3768419041. The reversal of 3768419040 is 409148673.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3768419040² = 28401964122069043200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3768418983 and 3768419001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3768419041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343561 + ... + 354359.

It is an arithmetic number, because the mean of its divisors is an integer number (123832800).

Almost surely, 2^3768419040 is an apocalyptic number.

3768419040 is a gapful number since it is divisible by the number (30) 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 3768419040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5943974400).

3768419040 is an abundant number, since it is smaller than the sum of its proper divisors (8119529760).

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

3768419040 is a wasteful number, since it uses less digits than its factorization.

3768419040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11544 (or 11536 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 3768419040 is about 61387.4501832419. The cubic root of 3768419040 is about 1556.1557548127.

It can be divided in two parts, 376841 and 9040, that added together give a triangular number (385881 = T₈₇₈).

The spelling of 3768419040 in words is "three billion, seven hundred sixty-eight million, four hundred nineteen thousand, forty".