3420576000 has 576 divisors, whose sum is σ = 13086178560. Its totient is φ = 879206400.

The previous prime is 3420575987. The next prime is 3420576041. The reversal of 3420576000 is 6750243.

It is a happy number.

3420576000 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 57 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31967947 + ... + 31968053.

It is an arithmetic number, because the mean of its divisors is an integer number (22719060).

Almost surely, 2^3420576000 is an apocalyptic number.

3420576000 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 3420576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6543089280).

3420576000 is an abundant number, since it is smaller than the sum of its proper divisors (9665602560).

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

3420576000 is a wasteful number, since it uses less digits than its factorization.

3420576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3420576000 is about 58485.6905576056. The cubic root of 3420576000 is about 1506.7218329798.

The spelling of 3420576000 in words is "three billion, four hundred twenty million, five hundred seventy-six thousand".