3385476000 has 480 divisors, whose sum is σ = 12767122368. Its totient is φ = 881798400.

The previous prime is 3385475971. The next prime is 3385476001. The reversal of 3385476000 is 6745833.

It is a happy number.

3385476000 is a `hidden beast` number, since 3 + 3 + 8 + 5 + 47 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3385476000² = 22922895493152000000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3385476001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 78731979 + ... + 78732021.

Almost surely, 2^3385476000 is an apocalyptic number.

3385476000 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 3385476000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6383561184).

3385476000 is an abundant number, since it is smaller than the sum of its proper divisors (9381646368).

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

3385476000 is an frugal number, since it uses more digits than its factorization.

3385476000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3385476000 is about 58184.8433872602. The cubic root of 3385476000 is about 1501.5503969607.

The spelling of 3385476000 in words is "three billion, three hundred eighty-five million, four hundred seventy-six thousand".