3490128000 has 320 divisors, whose sum is σ = 12967245720. Its totient is φ = 930355200.

The previous prime is 3490127987. The next prime is 3490128011. The reversal of 3490128000 is 8210943.

It can be written as a sum of positive squares in 4 ways, for example, as 884229696 + 2605898304 = 29736^2 + 51048^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1294654 + ... + 1297346.

Almost surely, 2^3490128000 is an apocalyptic number.

3490128000 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 3490128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6483622860).

3490128000 is an abundant number, since it is smaller than the sum of its proper divisors (9477117720).

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

3490128000 is an equidigital number, since it uses as much as digits as its factorization.

3490128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3490128000 is about 59077.3052872251. The cubic root of 3490128000 is about 1516.8656557063.

Adding to 3490128000 its reverse (8210943), we get a palindrome (3498338943).

The spelling of 3490128000 in words is "three billion, four hundred ninety million, one hundred twenty-eight thousand".