3420001030842 has 256 divisors, whose sum is σ = 9075483648000. Its totient is φ = 942884167680.

The previous prime is 3420001030837. The next prime is 3420001030843. The reversal of 3420001030842 is 2480301000243.

3420001030842 is a `hidden beast` number, since 342 + 0 + 0 + 0 + 10 + 308 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3420001030843) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42078159 + ... + 42159357.

It is an arithmetic number, because the mean of its divisors is an integer number (35451108000).

Almost surely, 2^{3420001030842} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3420001030842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4537741824000).

3420001030842 is an abundant number, since it is smaller than the sum of its proper divisors (5655482617158).

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

3420001030842 is a wasteful number, since it uses less digits than its factorization.

3420001030842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81378 (or 81372 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 3420001030842 in words is "three trillion, four hundred twenty billion, one million, thirty thousand, eight hundred forty-two".