34451100240 has 80 divisors (see below), whose sum is σ = 108261457728. Its totient is φ = 9061106688.

The previous prime is 34451100223. The next prime is 34451100241. The reversal of 34451100240 is 4200115443.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34451100240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34451100241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 965674 + ... + 1000713.

Almost surely, 2^34451100240 is an apocalyptic number.

34451100240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34451100240 is an abundant number, since it is smaller than the sum of its proper divisors (73810357488).

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

34451100240 is a wasteful number, since it uses less digits than its factorization.

34451100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966476 (or 1966470 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 34451100240 its reverse (4200115443), we get a palindrome (38651215683).

The spelling of 34451100240 in words is "thirty-four billion, four hundred fifty-one million, one hundred thousand, two hundred forty".