3426662587040 has 192 divisors, whose sum is σ = 10122178203648. Its totient is φ = 1064971392000.

The previous prime is 3426662587013. The next prime is 3426662587057. The reversal of 3426662587040 is 407852666243.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3874265 + ... + 4675815.

It is an arithmetic number, because the mean of its divisors is an integer number (52719678144).

Almost surely, 2^{3426662587040} 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 3426662587040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5061089101824).

3426662587040 is an abundant number, since it is smaller than the sum of its proper divisors (6695515616608).

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

3426662587040 is a wasteful number, since it uses less digits than its factorization.

3426662587040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801931 (or 801923 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 53.

The spelling of 3426662587040 in words is "three trillion, four hundred twenty-six billion, six hundred sixty-two million, five hundred eighty-seven thousand, forty".