3744960240 has 480 divisors, whose sum is σ = 14249088000. Its totient is φ = 810141696.

The previous prime is 3744960229. The next prime is 3744960259. The reversal of 3744960240 is 420694473.

It is a super-3 number, since 3×3744960240³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26942091 + ... + 26942229.

It is an arithmetic number, because the mean of its divisors is an integer number (29685600).

Almost surely, 2^3744960240 is an apocalyptic number.

3744960240 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 3744960240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7124544000).

3744960240 is an abundant number, since it is smaller than the sum of its proper divisors (10504127760).

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

3744960240 is a wasteful number, since it uses less digits than its factorization.

3744960240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 3744960240 is about 61196.0802666315. The cubic root of 3744960240 is about 1552.9199540191.

The spelling of 3744960240 in words is "three billion, seven hundred forty-four million, nine hundred sixty thousand, two hundred forty".