3499098482880 has 2016 divisors, whose sum is σ = 16595542087488. Its totient is φ = 670687395840.

The previous prime is 3499098482851. The next prime is 3499098482903. The reversal of 3499098482880 is 882848909943.

3499098482880 is a `hidden beast` number, since 3 + 499 + 0 + 98 + 48 + 2 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-3 number, since 3×3499098482880³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3499098482799 and 3499098482808.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2441798644 + ... + 2441800076.

It is an arithmetic number, because the mean of its divisors is an integer number (8231915718).

Almost surely, 2^{3499098482880} is an apocalyptic number.

3499098482880 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 3499098482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8297771043744).

3499098482880 is an abundant number, since it is smaller than the sum of its proper divisors (13096443604608).

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

3499098482880 is a wasteful number, since it uses less digits than its factorization.

3499098482880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 286654464, while the sum is 72.

The spelling of 3499098482880 in words is "three trillion, four hundred ninety-nine billion, ninety-eight million, four hundred eighty-two thousand, eight hundred eighty".