3743508234240 has 768 divisors, whose sum is σ = 14252157541440. Its totient is φ = 939377295360.

The previous prime is 3743508234139. The next prime is 3743508234283. The reversal of 3743508234240 is 424328053473.

3743508234240 is a `hidden beast` number, since 3 + 7 + 43 + 508 + 23 + 42 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 676820275 + ... + 676825805.

Almost surely, 2^{3743508234240} is an apocalyptic number.

3743508234240 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 3743508234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7126078770720).

3743508234240 is an abundant number, since it is smaller than the sum of its proper divisors (10508649307200).

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

3743508234240 is an frugal number, since it uses more digits than its factorization.

3743508234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5598 (or 5558 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 3743508234240 in words is "three trillion, seven hundred forty-three billion, five hundred eight million, two hundred thirty-four thousand, two hundred forty".