3742456319840 has 48 divisors (see below), whose sum is σ = 10104632066592. Its totient is φ = 1283127880704.

The previous prime is 3742456319779. The next prime is 3742456319843. The reversal of 3742456319840 is 489136542473.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3742456319843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1670738309 + ... + 1670740548.

It is an arithmetic number, because the mean of its divisors is an integer number (210513168054).

It is a 1-persistent number, because it is pandigital, but 2⋅3742456319840 = 7484912639680 is not.

Almost surely, 2^{3742456319840} is an apocalyptic number.

It is an amenable number.

3742456319840 is an abundant number, since it is smaller than the sum of its proper divisors (6362175746752).

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

3742456319840 is a wasteful number, since it uses less digits than its factorization.

3742456319840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3341478879 (or 3341478871 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 56.

The spelling of 3742456319840 in words is "three trillion, seven hundred forty-two billion, four hundred fifty-six million, three hundred nineteen thousand, eight hundred forty".