3408048000 has 1024 divisors, whose sum is σ = 15275520000. Its totient is φ = 745113600.

The previous prime is 3408047999. The next prime is 3408048041. The reversal of 3408048000 is 8408043.

It is a super-2 number, since 2×3408048000² = 23229582340608000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 148175989 + ... + 148176011.

It is an arithmetic number, because the mean of its divisors is an integer number (14917500).

Almost surely, 2^3408048000 is an apocalyptic number.

3408048000 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 3408048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7637760000).

3408048000 is an abundant number, since it is smaller than the sum of its proper divisors (11867472000).

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

3408048000 is an equidigital number, since it uses as much as digits as its factorization.

3408048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3408048000 is about 58378.4891890840. The cubic root of 3408048000 is about 1504.8801058267.

The spelling of 3408048000 in words is "three billion, four hundred eight million, forty-eight thousand".