3420582408 has 96 divisors (see below), whose sum is σ = 9604108800. Its totient is φ = 1098662400.

The previous prime is 3420582383. The next prime is 3420582413. The reversal of 3420582408 is 8042850243.

3420582408 is a `hidden beast` number, since 34 + 2 + 0 + 582 + 40 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 534733 + ... + 541091.

It is an arithmetic number, because the mean of its divisors is an integer number (100042800).

Almost surely, 2^3420582408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3420582408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4802054400).

3420582408 is an abundant number, since it is smaller than the sum of its proper divisors (6183526392).

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

3420582408 is a wasteful number, since it uses less digits than its factorization.

3420582408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6643 (or 6636 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 3420582408 is about 58485.7453402109. The cubic root of 3420582408 is about 1506.7227738610.

The spelling of 3420582408 in words is "three billion, four hundred twenty million, five hundred eighty-two thousand, four hundred eight".