34505889840 has 400 divisors, whose sum is σ = 126108499968. Its totient is φ = 8727409152.

The previous prime is 34505889799. The next prime is 34505889857. The reversal of 34505889840 is 4898850543.

34505889840 is a `hidden beast` number, since 3 + 4 + 50 + 588 + 9 + 8 + 4 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 18927169 + ... + 18928991.

Almost surely, 2^34505889840 is an apocalyptic number.

34505889840 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 34505889840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63054249984).

34505889840 is an abundant number, since it is smaller than the sum of its proper divisors (91602610128).

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

34505889840 is a wasteful number, since it uses less digits than its factorization.

34505889840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 34505889840 in words is "thirty-four billion, five hundred five million, eight hundred eighty-nine thousand, eight hundred forty".