3779124480 has 432 divisors, whose sum is σ = 14463671040. Its totient is φ = 906166272.

The previous prime is 3779124443. The next prime is 3779124499. The reversal of 3779124480 is 844219773.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 4503901 + ... + 4504739.

It is an arithmetic number, because the mean of its divisors is an integer number (33480720).

Almost surely, 2^3779124480 is an apocalyptic number.

3779124480 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 3779124480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7231835520).

3779124480 is an abundant number, since it is smaller than the sum of its proper divisors (10684546560).

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

3779124480 is a wasteful number, since it uses less digits than its factorization.

3779124480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 3779124480 is about 61474.5840164860. The cubic root of 3779124480 is about 1557.6279532148.

The spelling of 3779124480 in words is "three billion, seven hundred seventy-nine million, one hundred twenty-four thousand, four hundred eighty".