3516098880 has 168 divisors, whose sum is σ = 12986418528. Its totient is φ = 803668992.

The previous prime is 3516098857. The next prime is 3516098893. The reversal of 3516098880 is 888906153.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 9667 + ... + 84413.

Almost surely, 2^3516098880 is an apocalyptic number.

3516098880 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 3516098880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6493209264).

3516098880 is an abundant number, since it is smaller than the sum of its proper divisors (9470319648).

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

3516098880 is a wasteful number, since it uses less digits than its factorization.

3516098880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74781 (or 74764 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The square root of 3516098880 is about 59296.7021005384. The cubic root of 3516098880 is about 1520.6188154419.

The spelling of 3516098880 in words is "three billion, five hundred sixteen million, ninety-eight thousand, eight hundred eighty".