34885909440 has 560 divisors, whose sum is σ = 134669503584. Its totient is φ = 8537702400.

The previous prime is 34885909393. The next prime is 34885909469. The reversal of 34885909440 is 4490958843.

34885909440 is a `hidden beast` number, since 3 + 4 + 8 + 8 + 590 + 9 + 4 + 40 = 666.

34885909440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34885909440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18065275 + ... + 18067205.

Almost surely, 2^34885909440 is an apocalyptic number.

34885909440 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 34885909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67334751792).

34885909440 is an abundant number, since it is smaller than the sum of its proper divisors (99783594144).

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

34885909440 is a wasteful number, since it uses less digits than its factorization.

34885909440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 34885909440 in words is "thirty-four billion, eight hundred eighty-five million, nine hundred nine thousand, four hundred forty".