3464889840 has 480 divisors, whose sum is σ = 12785610240. Its totient is φ = 838656000.

The previous prime is 3464889829. The next prime is 3464889851. The reversal of 3464889840 is 489884643.

3464889840 is a `hidden beast` number, since 34 + 6 + 488 + 98 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3464889829) and next prime (3464889851).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34305790 + ... + 34305890.

It is an arithmetic number, because the mean of its divisors is an integer number (26636688).

Almost surely, 2^3464889840 is an apocalyptic number.

3464889840 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 3464889840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6392805120).

3464889840 is an abundant number, since it is smaller than the sum of its proper divisors (9320720400).

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

3464889840 is a wasteful number, since it uses less digits than its factorization.

3464889840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The square root of 3464889840 is about 58863.3148913651. The cubic root of 3464889840 is about 1513.2005036932.

The spelling of 3464889840 in words is "three billion, four hundred sixty-four million, eight hundred eighty-nine thousand, eight hundred forty".