3436971408 has 240 divisors, whose sum is σ = 11065541760. Its totient is φ = 987033600.

The previous prime is 3436971367. The next prime is 3436971431. The reversal of 3436971408 is 8041796343.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2524648 + ... + 2526008.

It is an arithmetic number, because the mean of its divisors is an integer number (46106424).

Almost surely, 2^3436971408 is an apocalyptic number.

3436971408 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 3436971408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5532770880).

3436971408 is an abundant number, since it is smaller than the sum of its proper divisors (7628570352).

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

3436971408 is a wasteful number, since it uses less digits than its factorization.

3436971408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3436971408 is about 58625.6889767617. The cubic root of 3436971408 is about 1509.1253224191.

The spelling of 3436971408 in words is "three billion, four hundred thirty-six million, nine hundred seventy-one thousand, four hundred eight".