34212090042 has 192 divisors, whose sum is σ = 88019742720. Its totient is φ = 9872362944.

The previous prime is 34212090041. The next prime is 34212090103. The reversal of 34212090042 is 24009021243.

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

It is a junction number, because it is equal to n+sod(n) for n = 34212089988 and 34212090015.

It is not an unprimeable number, because it can be changed into a prime (34212090041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12362943 + ... + 12365709.

It is an arithmetic number, because the mean of its divisors is an integer number (458436160).

Almost surely, 2^34212090042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34212090042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44009871360).

34212090042 is an abundant number, since it is smaller than the sum of its proper divisors (53807652678).

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

34212090042 is a wasteful number, since it uses less digits than its factorization.

34212090042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 34212090042 in words is "thirty-four billion, two hundred twelve million, ninety thousand, forty-two".