34243993440 has 576 divisors, whose sum is σ = 127752992640. Its totient is φ = 8326348800.

The previous prime is 34243993439. The next prime is 34243993477. The reversal of 34243993440 is 4439934243.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97008304 + ... + 97008656.

It is an arithmetic number, because the mean of its divisors is an integer number (221793390).

Almost surely, 2^34243993440 is an apocalyptic number.

34243993440 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 34243993440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63876496320).

34243993440 is an abundant number, since it is smaller than the sum of its proper divisors (93508999200).

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

34243993440 is a wasteful number, since it uses less digits than its factorization.

34243993440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 34243993440 in words is "thirty-four billion, two hundred forty-three million, nine hundred ninety-three thousand, four hundred forty".