34364435820 has 192 divisors, whose sum is σ = 113518056960. Its totient is φ = 7657574400.

The previous prime is 34364435813. The next prime is 34364435821. The reversal of 34364435820 is 2853446343.

It is not an unprimeable number, because it can be changed into a prime (34364435821) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2059471 + ... + 2076089.

It is an arithmetic number, because the mean of its divisors is an integer number (591239880).

Almost surely, 2^34364435820 is an apocalyptic number.

34364435820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34364435820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56759028480).

34364435820 is an abundant number, since it is smaller than the sum of its proper divisors (79153621140).

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

34364435820 is a wasteful number, since it uses less digits than its factorization.

34364435820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16896 (or 16894 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 34364435820 in words is "thirty-four billion, three hundred sixty-four million, four hundred thirty-five thousand, eight hundred twenty".