3462849408 has 128 divisors (see below), whose sum is σ = 10252224000. Its totient is φ = 1029169152.

The previous prime is 3462849367. The next prime is 3462849431. The reversal of 3462849408 is 8049482643.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110073 + ... + 137991.

It is an arithmetic number, because the mean of its divisors is an integer number (80095500).

Almost surely, 2^3462849408 is an apocalyptic number.

3462849408 is a gapful number since it is divisible by the number (38) 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 3462849408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5126112000).

3462849408 is an abundant number, since it is smaller than the sum of its proper divisors (6789374592).

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

3462849408 is a wasteful number, since it uses less digits than its factorization.

3462849408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27972 (or 27960 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The square root of 3462849408 is about 58845.9803894879. The cubic root of 3462849408 is about 1512.9034101682.

The spelling of 3462849408 in words is "three billion, four hundred sixty-two million, eight hundred forty-nine thousand, four hundred eight".