3742479896064 has 600 divisors, whose sum is σ = 12571670136168. Its totient is φ = 986460733440.

The previous prime is 3742479896059. The next prime is 3742479896081. The reversal of 3742479896064 is 4606989742473.

3742479896064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3742479896064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2149614234 + ... + 2149615974.

Almost surely, 2^{3742479896064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3742479896064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6285835068084).

3742479896064 is an abundant number, since it is smaller than the sum of its proper divisors (8829190240104).

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

3742479896064 is an frugal number, since it uses more digits than its factorization.

3742479896064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 69.

The spelling of 3742479896064 in words is "three trillion, seven hundred forty-two billion, four hundred seventy-nine million, eight hundred ninety-six thousand, sixty-four".