3779043840 has 960 divisors, whose sum is σ = 16300956672. Its totient is φ = 796262400.

The previous prime is 3779043833. The next prime is 3779043847. The reversal of 3779043840 is 483409773.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3779043833) and next prime (3779043847).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3779043847) 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 95 ways as a sum of consecutive naturals, for example, 102136302 + ... + 102136338.

Almost surely, 2^3779043840 is an apocalyptic number.

3779043840 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 3779043840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8150478336).

3779043840 is an abundant number, since it is smaller than the sum of its proper divisors (12521912832).

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

3779043840 is a wasteful number, since it uses less digits than its factorization.

3779043840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 3779043840 is about 61473.9281321765. The cubic root of 3779043840 is about 1557.6168741045.

The spelling of 3779043840 in words is "three billion, seven hundred seventy-nine million, forty-three thousand, eight hundred forty".