3746373120 has 800 divisors, whose sum is σ = 16042276800. Its totient is φ = 817496064.

The previous prime is 3746373083. The next prime is 3746373167. The reversal of 3746373120 is 213736473.

3746373120 is a `hidden beast` number, since 3 + 7 + 4 + 637 + 3 + 12 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42094036 + ... + 42094124.

It is an arithmetic number, because the mean of its divisors is an integer number (20052846).

Almost surely, 2^3746373120 is an apocalyptic number.

3746373120 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 3746373120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8021138400).

3746373120 is an abundant number, since it is smaller than the sum of its proper divisors (12295903680).

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

3746373120 is an equidigital number, since it uses as much as digits as its factorization.

3746373120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 3746373120 is about 61207.6230546490. The cubic root of 3746373120 is about 1553.1152221071.

The spelling of 3746373120 in words is "three billion, seven hundred forty-six million, three hundred seventy-three thousand, one hundred twenty".