34434368640 has 384 divisors, whose sum is σ = 137766096000. Its totient is φ = 7762231296.

The previous prime is 34434368611. The next prime is 34434368663. The reversal of 34434368640 is 4686343443.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2937511 + ... + 2949209.

It is an arithmetic number, because the mean of its divisors is an integer number (358765875).

Almost surely, 2^34434368640 is an apocalyptic number.

34434368640 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 34434368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68883048000).

34434368640 is an abundant number, since it is smaller than the sum of its proper divisors (103331727360).

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

34434368640 is a wasteful number, since it uses less digits than its factorization.

34434368640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11804 (or 11789 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 45.

The spelling of 34434368640 in words is "thirty-four billion, four hundred thirty-four million, three hundred sixty-eight thousand, six hundred forty".