3498580800 has 504 divisors, whose sum is σ = 14617293600. Its totient is φ = 782438400.

The previous prime is 3498580777. The next prime is 3498580823. The reversal of 3498580800 is 80858943.

3498580800 is a `hidden beast` number, since 3 + 498 + 5 + 80 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3498580777) and next prime (3498580823).

It is a super-2 number, since 2×3498580800² = 24480135228257280000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2058351 + ... + 2060049.

Almost surely, 2^3498580800 is an apocalyptic number.

3498580800 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 3498580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7308646800).

3498580800 is an abundant number, since it is smaller than the sum of its proper divisors (11118712800).

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

3498580800 is a wasteful number, since it uses less digits than its factorization.

3498580800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 3498580800 is about 59148.8021856741. The cubic root of 3498580800 is about 1518.0892426195.

The spelling of 3498580800 in words is "three billion, four hundred ninety-eight million, five hundred eighty thousand, eight hundred".