34472970240 has 192 divisors, whose sum is σ = 111105146880. Its totient is φ = 9124577280.

The previous prime is 34472970227. The next prime is 34472970251. The reversal of 34472970240 is 4207927443.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 34472970192 and 34472970201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4204545 + ... + 4212735.

It is an arithmetic number, because the mean of its divisors is an integer number (578672640).

Almost surely, 2^34472970240 is an apocalyptic number.

34472970240 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 34472970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55552573440).

34472970240 is an abundant number, since it is smaller than the sum of its proper divisors (76632176640).

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

34472970240 is a wasteful number, since it uses less digits than its factorization.

34472970240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8358 (or 8338 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 34472970240 in words is "thirty-four billion, four hundred seventy-two million, nine hundred seventy thousand, two hundred forty".