34245461536 has 192 divisors, whose sum is σ = 82529798400. Its totient is φ = 13773312000.

The previous prime is 34245461533. The next prime is 34245461539. The reversal of 34245461536 is 63516454243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34245461533) and next prime (34245461539).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 34245461492 and 34245461501.

It is not an unprimeable number, because it can be changed into a prime (34245461533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20037450 + ... + 20039158.

It is an arithmetic number, because the mean of its divisors is an integer number (429842700).

Almost surely, 2^34245461536 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 34245461536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41264899200).

34245461536 is an abundant number, since it is smaller than the sum of its proper divisors (48284336864).

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

34245461536 is a wasteful number, since it uses less digits than its factorization.

34245461536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1915 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 43.

The spelling of 34245461536 in words is "thirty-four billion, two hundred forty-five million, four hundred sixty-one thousand, five hundred thirty-six".