3405576000 has 336 divisors, whose sum is σ = 11969934912. Its totient is φ = 852992000.

The previous prime is 3405575939. The next prime is 3405576001. The reversal of 3405576000 is 6755043.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3405576001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6935755 + ... + 6936245.

Almost surely, 2^3405576000 is an apocalyptic number.

3405576000 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 3405576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5984967456).

3405576000 is an abundant number, since it is smaller than the sum of its proper divisors (8564358912).

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

3405576000 is a wasteful number, since it uses less digits than its factorization.

3405576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 3405576000 is about 58357.3131663890. The cubic root of 3405576000 is about 1504.5161669558.

The spelling of 3405576000 in words is "three billion, four hundred five million, five hundred seventy-six thousand".