34332541320 has 512 divisors, whose sum is σ = 132577689600. Its totient is φ = 6906547200.

The previous prime is 34332541307. The next prime is 34332541357. The reversal of 34332541320 is 2314523343.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38705917 + ... + 38706803.

It is an arithmetic number, because the mean of its divisors is an integer number (258940800).

Almost surely, 2^34332541320 is an apocalyptic number.

34332541320 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 34332541320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66288844800).

34332541320 is an abundant number, since it is smaller than the sum of its proper divisors (98245148280).

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

34332541320 is a wasteful number, since it uses less digits than its factorization.

34332541320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

The spelling of 34332541320 in words is "thirty-four billion, three hundred thirty-two million, five hundred forty-one thousand, three hundred twenty".