34212003336040 has 128 divisors (see below), whose sum is σ = 80455108608000. Its totient is φ = 13078125527040.

The previous prime is 34212003336001. The next prime is 34212003336083. The reversal of 34212003336040 is 4063330021243.

It is a super-2 number, since 2×34212003336040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 34212003335993 and 34212003336011.

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, 54656761 + ... + 55279159.

It is an arithmetic number, because the mean of its divisors is an integer number (628555536000).

Almost surely, 2^{34212003336040} 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 34212003336040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40227554304000).

34212003336040 is an abundant number, since it is smaller than the sum of its proper divisors (46243105271960).

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

34212003336040 is a wasteful number, since it uses less digits than its factorization.

34212003336040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622995 (or 622991 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 34212003336040 its reverse (4063330021243), we get a palindrome (38275333357283).

The spelling of 34212003336040 in words is "thirty-four trillion, two hundred twelve billion, three million, three hundred thirty-six thousand, forty".