3772293120 has 336 divisors, whose sum is σ = 13596579360. Its totient is φ = 1003290624.

The previous prime is 3772293113. The next prime is 3772293163. The reversal of 3772293120 is 213922773.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9953091 + ... + 9953469.

It is an arithmetic number, because the mean of its divisors is an integer number (40466010).

Almost surely, 2^3772293120 is an apocalyptic number.

3772293120 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 3772293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6798289680).

3772293120 is an abundant number, since it is smaller than the sum of its proper divisors (9824286240).

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

3772293120 is an frugal number, since it uses more digits than its factorization.

3772293120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 3772293120 is about 61418.9964099056. The cubic root of 3772293120 is about 1556.6888348744.

The spelling of 3772293120 in words is "three billion, seven hundred seventy-two million, two hundred ninety-three thousand, one hundred twenty".