3734242375680 has 576 divisors, whose sum is σ = 13792624634880. Its totient is φ = 932211523584.

The previous prime is 3734242375637. The next prime is 3734242375691. The reversal of 3734242375680 is 865732424373.

3734242375680 is a `hidden beast` number, since 3 + 7 + 3 + 4 + 2 + 42 + 37 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3734242375680² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99606219 + ... + 99643701.

It is an arithmetic number, because the mean of its divisors is an integer number (23945528880).

Almost surely, 2^{3734242375680} is an apocalyptic number.

3734242375680 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 3734242375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6896312317440).

3734242375680 is an abundant number, since it is smaller than the sum of its proper divisors (10058382259200).

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

3734242375680 is a wasteful number, since it uses less digits than its factorization.

3734242375680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37586 (or 37563 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 3734242375680 in words is "three trillion, seven hundred thirty-four billion, two hundred forty-two million, three hundred seventy-five thousand, six hundred eighty".