3729514544640 has 640 divisors, whose sum is σ = 13444093808640. Its totient is φ = 992093184000.

The previous prime is 3729514544617. The next prime is 3729514544671. The reversal of 3729514544640 is 464454159273.

3729514544640 is a `hidden beast` number, since 3 + 7 + 2 + 9 + 51 + 4 + 544 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4204638277 + ... + 4204639163.

It is an arithmetic number, because the mean of its divisors is an integer number (21006396576).

Almost surely, 2^{3729514544640} is an apocalyptic number.

3729514544640 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 3729514544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6722046904320).

3729514544640 is an abundant number, since it is smaller than the sum of its proper divisors (9714579264000).

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

3729514544640 is an frugal number, since it uses more digits than its factorization.

3729514544640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 3729514544640 in words is "three trillion, seven hundred twenty-nine billion, five hundred fourteen million, five hundred forty-four thousand, six hundred forty".