3745352701440 has 960 divisors, whose sum is σ = 15533524790784. Its totient is φ = 847159492608.

The previous prime is 3745352701351. The next prime is 3745352701547. The reversal of 3745352701440 is 441072535473.

It is a happy number.

3745352701440 is a `hidden beast` number, since 3 + 7 + 4 + 535 + 2 + 70 + 1 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

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, 422387887 + ... + 422396753.

Almost surely, 2^{3745352701440} is an apocalyptic number.

3745352701440 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 3745352701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7766762395392).

3745352701440 is an abundant number, since it is smaller than the sum of its proper divisors (11788172089344).

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

3745352701440 is an frugal number, since it uses more digits than its factorization.

3745352701440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9009 (or 8981 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 3745352701440 in words is "three trillion, seven hundred forty-five billion, three hundred fifty-two million, seven hundred one thousand, four hundred forty".