34575733440 has 448 divisors, whose sum is σ = 126828011520. Its totient is φ = 8857866240.

The previous prime is 34575733393. The next prime is 34575733477. The reversal of 34575733440 is 4433757543.

34575733440 is a `hidden beast` number, since 3 + 4 + 5 + 7 + 573 + 34 + 40 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44728894 + ... + 44729666.

It is an arithmetic number, because the mean of its divisors is an integer number (283098240).

Almost surely, 2^34575733440 is an apocalyptic number.

34575733440 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 34575733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63414005760).

34575733440 is an abundant number, since it is smaller than the sum of its proper divisors (92252278080).

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

34575733440 is a wasteful number, since it uses less digits than its factorization.

34575733440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 45.

The spelling of 34575733440 in words is "thirty-four billion, five hundred seventy-five million, seven hundred thirty-three thousand, four hundred forty".