3754840320 has 1152 divisors, whose sum is σ = 17801441280. Its totient is φ = 725483520.

The previous prime is 3754840289. The next prime is 3754840339. The reversal of 3754840320 is 230484573.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 45238999 + ... + 45239081.

It is an arithmetic number, because the mean of its divisors is an integer number (15452640).

Almost surely, 2^3754840320 is an apocalyptic number.

3754840320 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 3754840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8900720640).

3754840320 is an abundant number, since it is smaller than the sum of its proper divisors (14046600960).

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

3754840320 is a wasteful number, since it uses less digits than its factorization.

3754840320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3754840320 is about 61276.7518721415. The cubic root of 3754840320 is about 1554.2844100129.

The spelling of 3754840320 in words is "three billion, seven hundred fifty-four million, eight hundred forty thousand, three hundred twenty".