3743494352640 has 1728 divisors, whose sum is σ = 16245227980800. Its totient is φ = 776546942976.

The previous prime is 3743494352617. The next prime is 3743494352641. The reversal of 3743494352640 is 462534943473.

3743494352640 is a `hidden beast` number, since 3 + 7 + 4 + 34 + 9 + 43 + 526 + 40 = 666.

3743494352640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3743494352641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7686846477 + ... + 7686846963.

It is an arithmetic number, because the mean of its divisors is an integer number (9401173600).

Almost surely, 2^{3743494352640} is an apocalyptic number.

3743494352640 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 3743494352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8122613990400).

3743494352640 is an abundant number, since it is smaller than the sum of its proper divisors (12501733628160).

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

3743494352640 is a wasteful number, since it uses less digits than its factorization.

3743494352640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 54.

The spelling of 3743494352640 in words is "three trillion, seven hundred forty-three billion, four hundred ninety-four million, three hundred fifty-two thousand, six hundred forty".