3779973120 has 832 divisors, whose sum is σ = 16305463296. Its totient is φ = 723517440.

The previous prime is 3779973101. The next prime is 3779973143. The reversal of 3779973120 is 213799773.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3779973120.

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 63 ways as a sum of consecutive naturals, for example, 80424937 + ... + 80424983.

Almost surely, 2^3779973120 is an apocalyptic number.

3779973120 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 3779973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8152731648).

3779973120 is an abundant number, since it is smaller than the sum of its proper divisors (12525490176).

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

3779973120 is a wasteful number, since it uses less digits than its factorization.

3779973120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 500094, while the sum is 48.

The square root of 3779973120 is about 61481.4859937526. The cubic root of 3779973120 is about 1557.7445381063.

The spelling of 3779973120 in words is "three billion, seven hundred seventy-nine million, nine hundred seventy-three thousand, one hundred twenty".