3491424000 has 432 divisors, whose sum is σ = 13057480800. Its totient is φ = 928972800.

The previous prime is 3491423959. The next prime is 3491424023. The reversal of 3491424000 is 4241943.

3491424000 = 105³ + 106³ + ... + 344³.

It is a tau number, because it is divible by the number of its divisors (432).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7775776 + ... + 7776224.

It is an arithmetic number, because the mean of its divisors is an integer number (30225650).

Almost surely, 2^3491424000 is an apocalyptic number.

3491424000 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 3491424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6528740400).

3491424000 is an abundant number, since it is smaller than the sum of its proper divisors (9566056800).

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

3491424000 is an frugal number, since it uses more digits than its factorization.

3491424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3491424000 is about 59088.2729481917. The cubic root of 3491424000 is about 1517.0533866062.

Adding to 3491424000 its reverse (4241943), we get a palindrome (3495665943).

The spelling of 3491424000 in words is "three billion, four hundred ninety-one million, four hundred twenty-four thousand".