34182337920 has 256 divisors, whose sum is σ = 115990548480. Its totient is φ = 8532623360.

The previous prime is 34182337901. The next prime is 34182337933. The reversal of 34182337920 is 2973328143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6231499 + ... + 6236981.

It is an arithmetic number, because the mean of its divisors is an integer number (453088080).

Almost surely, 2^34182337920 is an apocalyptic number.

34182337920 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 34182337920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57995274240).

34182337920 is an abundant number, since it is smaller than the sum of its proper divisors (81808210560).

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

34182337920 is a wasteful number, since it uses less digits than its factorization.

34182337920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5713 (or 5701 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 34182337920 in words is "thirty-four billion, one hundred eighty-two million, three hundred thirty-seven thousand, nine hundred twenty".