3491463840 has 96 divisors (see below), whose sum is σ = 11020738176. Its totient is φ = 929141760.

The previous prime is 3491463839. The next prime is 3491463847. The reversal of 3491463840 is 483641943.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3491463792 and 3491463801.

It is not an unprimeable number, because it can be changed into a prime (3491463847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234210 + ... + 248670.

It is an arithmetic number, because the mean of its divisors is an integer number (114799356).

Almost surely, 2^3491463840 is an apocalyptic number.

3491463840 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 3491463840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5510369088).

3491463840 is an abundant number, since it is smaller than the sum of its proper divisors (7529274336).

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

3491463840 is a wasteful number, since it uses less digits than its factorization.

3491463840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14982 (or 14974 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 3491463840 is about 59088.6100699619. The cubic root of 3491463840 is about 1517.0591568571.

The spelling of 3491463840 in words is "three billion, four hundred ninety-one million, four hundred sixty-three thousand, eight hundred forty".