3742744320 has 576 divisors, whose sum is σ = 15446753280. Its totient is φ = 851005440.

The previous prime is 3742744307. The next prime is 3742744337. The reversal of 3742744320 is 234472473.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19595425 + ... + 19595615.

It is an arithmetic number, because the mean of its divisors is an integer number (26817280).

Almost surely, 2^3742744320 is an apocalyptic number.

3742744320 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 3742744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7723376640).

3742744320 is an abundant number, since it is smaller than the sum of its proper divisors (11704008960).

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

3742744320 is an frugal number, since it uses more digits than its factorization.

3742744320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

The square root of 3742744320 is about 61177.9725064504. The cubic root of 3742744320 is about 1552.6136022731.

The spelling of 3742744320 in words is "three billion, seven hundred forty-two million, seven hundred forty-four thousand, three hundred twenty".