3498681600 has 540 divisors, whose sum is σ = 13731675804. Its totient is φ = 875888640.

The previous prime is 3498681587. The next prime is 3498681601. The reversal of 3498681600 is 61868943.

3498681600 is a `hidden beast` number, since 34 + 9 + 8 + 6 + 8 + 1 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 29942784 + 3468738816 = 5472^2 + 58896^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3498681601) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8812602 + ... + 8812998.

Almost surely, 2^3498681600 is an apocalyptic number.

3498681600 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 3498681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6865837902).

3498681600 is an abundant number, since it is smaller than the sum of its proper divisors (10232994204).

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

3498681600 is a wasteful number, since it uses less digits than its factorization.

3498681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3498681600 is about 59149.6542677977. The cubic root of 3498681600 is about 1518.1038220481.

The spelling of 3498681600 in words is "three billion, four hundred ninety-eight million, six hundred eighty-one thousand, six hundred".