34887490560 has 616 divisors, whose sum is σ = 135316198080. Its totient is φ = 8575746048.

The previous prime is 34887490553. The next prime is 34887490601. The reversal of 34887490560 is 6509478843.

34887490560 is a `hidden beast` number, since 3 + 4 + 8 + 8 + 74 + 9 + 0 + 560 = 666.

It is a super-2 number, since 2×34887490560² (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 junction number, because it is equal to n+sod(n) for n = 34887490497 and 34887490506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 48521881 + ... + 48522599.

Almost surely, 2^34887490560 is an apocalyptic number.

34887490560 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 34887490560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67658099040).

34887490560 is an abundant number, since it is smaller than the sum of its proper divisors (100428707520).

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

34887490560 is an equidigital number, since it uses as much as digits as its factorization.

34887490560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 34887490560 in words is "thirty-four billion, eight hundred eighty-seven million, four hundred ninety thousand, five hundred sixty".