3498984000 has 448 divisors, whose sum is σ = 13047390720. Its totient is φ = 917913600.

The previous prime is 3498983989. The next prime is 3498984017. The reversal of 3498984000 is 4898943.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20951917 + ... + 20952083.

It is an arithmetic number, because the mean of its divisors is an integer number (29123640).

Almost surely, 2^3498984000 is an apocalyptic number.

3498984000 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 3498984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6523695360).

3498984000 is an abundant number, since it is smaller than the sum of its proper divisors (9548406720).

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

3498984000 is a wasteful number, since it uses less digits than its factorization.

3498984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 274 counting only the distinct ones).

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

The square root of 3498984000 is about 59152.2104405237. The cubic root of 3498984000 is about 1518.1475586535.

The spelling of 3498984000 in words is "three billion, four hundred ninety-eight million, nine hundred eighty-four thousand".