34421106352464 has 80 divisors (see below), whose sum is σ = 106401425636800. Its totient is φ = 10591109645184.

The previous prime is 34421106352463. The next prime is 34421106352511. The reversal of 34421106352464 is 46425360112443.

34421106352464 is a `hidden beast` number, since 3 + 4 + 4 + 2 + 1 + 1 + 0 + 63 + 524 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34421106352463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3064551574 + ... + 3064562805.

It is an arithmetic number, because the mean of its divisors is an integer number (1330017820460).

Almost surely, 2^{34421106352464} is an apocalyptic number.

It is an amenable number.

34421106352464 is an abundant number, since it is smaller than the sum of its proper divisors (71980319284336).

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

34421106352464 is a wasteful number, since it uses less digits than its factorization.

34421106352464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6129114409 (or 6129114397 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 34421106352464 in words is "thirty-four trillion, four hundred twenty-one billion, one hundred six million, three hundred fifty-two thousand, four hundred sixty-four".